300 (three hundred) is the natural number following 299 and preceding 301.
In mathematics
300 is a composite number and the 24th triangular number. It is also a second hexagonal number.
Integers from 301 to 399
300s
301
302
303
304
305
306
307
308
309
310s
310
311
312
313
314
315
316
316 = 2<sup>2</sup> × 79, a centered triangular number and a centered heptagonal number.
317
317 is a prime number, Eisenstein prime with no imaginary part, Chen prime, one of the rare primes to be both right and left-truncatable, and a strictly non-palindromic number.
317 is the exponent (and number of ones) in the fourth base-10 repunit prime.
318
319
319 = 11 × 29. 319 is the sum of three consecutive primes (103 + 107 + 109), Smith number, cannot be represented as the sum of fewer than 19 fourth powers, happy number in base 10
320s
320
320 = 2<sup>6</sup> × 5 = (2<sup>5</sup>) × (2 × 5). 320 is a Leyland number, and maximum determinant of a 10 by 10 matrix of zeros and ones.
321
321 = 3 × 107, a Delannoy number
322
322 = 2 × 7 × 23. 322 is a sphenic, nontotient, untouchable, and a Lucas number. It is also the first unprimeable number to end in 2.
323
324
324 = 2<sup>2</sup> × 3<sup>4</sup> = 18<sup>2</sup>. 324 is the sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, a square number, and an untouchable number. and an untouchable number.
327
327 = 3 × 109. 327 is a perfect totient number, number of compositions of 10 whose run-lengths are either weakly increasing or weakly decreasing
328
328 = 2<sup>3</sup> × 41. 328 is a refactorable number, and it is the sum of the first fifteen primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).
329
329 = 7 × 47. 329 is the sum of three consecutive primes (107 + 109 + 113), and a highly cototient number.
330s
330
330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number (and hence a binomial coefficient <math>\tbinom {11}4 </math>), a pentagonal number, divisible by the number of primes below it, and a sparsely totient number.
331
331 is a prime number, super-prime, cuban prime, a lucky prime, sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number, centered hexagonal number, and Mertens function returns 0.
332
332 = 2<sup>2</sup> × 83, Mertens function returns 0.
335
335 = 5 × 67. 335 is divisible by the number of primes below it, number of Lyndon words of length 12.
336
336 = 2<sup>4</sup> × 3 × 7, untouchable number, largely composite number.
337
337, prime number, emirp, permutable prime with 373 and 733, Chen prime, star number
338
338 = 2 × 13<sup>2</sup>, nontotient, number of square (0,1)-matrices without zero rows and with exactly 4 entries equal to 1.
339
339 = 3 × 113, Ulam number
340s
340
340 = 2<sup>2</sup> × 5 × 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (4<sup>1</sup> + 4<sup>2</sup> + 4<sup>3</sup> + 4<sup>4</sup>), divisible by the number of primes below it, nontotient, noncototient. Untouchable number. noncototient, Eisenstein prime with no imaginary part, Chen prime,
350s
350
350 = 2 × 5<sup>2</sup> × 7 = <math>\left\{ {7 \atop 4} \right\}</math>, primitive semiperfect number, divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.
351
351 = 3<sup>3</sup> × 13, 26th triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence and number of compositions of 15 into distinct parts.
- The international calling code for Portugal
352
352 = 2<sup>5</sup> × 11, the number of n-Queens Problem solutions for n = 9. It is the sum of two consecutive primes (173 + 179), lazy caterer number sphenic number, The cototient of 355 is 75, where 75 is the product of its digits (3 x 5 x 5 = 75).
The numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known as Milü and provides an extremely accurate approximation for pi, being accurate to seven digits.
356
356 = 2<sup>2</sup> × 89, Mertens function returns 0.
- The international calling code for Finland
359
360s
360
361
361 = 19<sup>2</sup>. 361 is a centered triangular number, centered octagonal number, centered decagonal number, member of the Mian–Chowla sequence; also the number of positions on a standard 19 x 19 Go board.
362
362 = 2 × 181 = σ<sub>2</sub>(19): sum of squares of divisors of 19, Mertens function returns 0, sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0, 26-gonal and 123-gonal. Also the number of days in a leap year.
367
367 is a prime number, a lucky prime, happy number, prime index prime and a strictly non-palindromic number.
368
368 = 2<sup>4</sup> × 23. It is also a Leyland number. the next such composite number is 2935561623745, Armstrong number since 3<sup>3</sup> + 7<sup>3</sup> + 1<sup>3</sup> = 371.
372
372 = 2<sup>2</sup> × 3 × 31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), noncototient, one of the rare primes to be both right and left-truncatable (two-sided prime), sum of five consecutive primes (67 + 71 + 73 + 79 + 83), sexy prime with 367 and 379, permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 565<sub>8</sub> = 454<sub>9</sub> = 373<sub>10</sub> and also in base 4: 11311<sub>4</sub>.
374
374 = 2 × 11 × 17, sphenic number,
375
375 = 3 × 5<sup>3</sup>, number of regions in regular 11-gon with all diagonals drawn.
376
376 = 2<sup>3</sup> × 47, pentagonal number, nontotient, refactorable number. cake number, hexagonal number, Smith number.
381
381 = 3 × 127, palindromic in base 2 and base 8.
381 is the sum of the first 16 prime numbers (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).
382
382 = 2 × 191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number. Woodall prime, Thabit number, Eisenstein prime with no imaginary part, palindromic prime. It is also the first number where the sum of a prime and the reversal of the prime is also a prime. 4<sup>383</sup> - 3<sup>383</sup> is prime.
384
385
385 = 5 × 7 × 11, sphenic number, the number of integer partitions of 18.
385 = 10<sup>2</sup> + 9<sup>2</sup> + 8<sup>2</sup> + 7<sup>2</sup> + 6<sup>2</sup> + 5<sup>2</sup> + 4<sup>2</sup> + 3<sup>2</sup> + 2<sup>2</sup> + 1<sup>2</sup>
386
386 = 2 × 193, nontotient, noncototient, number of surface points on a cube with edge-length 9.
387
387 = 3<sup>2</sup> × 43, number of graphical partitions of 22.
388
388 = 2<sup>2</sup> × 97 = solution to postage stamp problem with 6 stamps and 6 denominations, number of uniform rooted trees with 10 nodes.
389
389, prime number, emirp, Eisenstein prime with no imaginary part, Chen prime,
391
391 = 17 × 23, Smith number, nontotient, noncototient.
396
396 = 2<sup>2</sup> × 3<sup>2</sup> × 11, sum of twin primes (197 + 199), totient sum of the first 36 integers, refactorable number, 399! + 1 is prime.
399 is the largest number whose base 10 digit sum is larger than the square root of the number: 3 + 9 + 9 = 21, which is larger than 19.975.