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313877928 = 2337413419
BaseRepresentation
bin10010101101010…
…110010110101000
3210212121122120110
4102231112112220
51120323043203
651051254320
710530630000
oct2255262650
9725548513
10313877928
111511a3151
128914a3a0
13500497b0
142d987000
151c850d03
hex12b565a8

313877928 has 160 divisors (see below), whose sum is σ = 988192800. Its totient is φ = 82583424.

The previous prime is 313877923. The next prime is 313877939. The reversal of 313877928 is 829778313.

It is not an unprimeable number, because it can be changed into a prime (313877923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 748903 + ... + 749321.

It is an arithmetic number, because the mean of its divisors is an integer number (6176205).

Almost surely, 2313877928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313877928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494096400).

313877928 is an abundant number, since it is smaller than the sum of its proper divisors (674314872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313877928 is a wasteful number, since it uses less digits than its factorization.

313877928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 444 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 313877928 is about 17716.6003510832. The cubic root of 313877928 is about 679.6003476290.

The spelling of 313877928 in words is "three hundred thirteen million, eight hundred seventy-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 343 364 392 419 546 588 637 686 728 838 1029 1092 1176 1257 1274 1372 1676 1911 2058 2184 2401 2514 2548 2744 2933 3352 3822 4116 4459 4802 5028 5096 5447 5866 7203 7644 8232 8799 8918 9604 10056 10894 11732 13377 14406 15288 16341 17598 17836 19208 20531 21788 23464 26754 28812 31213 32682 35196 35672 38129 41062 43576 53508 57624 61593 62426 65364 70392 76258 82124 93639 107016 114387 123186 124852 130728 143717 152516 164248 187278 228774 246372 249704 266903 287434 305032 374556 431151 457548 492744 533806 574868 749112 800709 862302 915096 1006019 1067612 1149736 1601418 1724604 1868321 2012038 2135224 3018057 3202836 3449208 3736642 4024076 5604963 6036114 6405672 7473284 8048152 11209926 12072228 13078247 14946568 22419852 24144456 26156494 39234741 44839704 52312988 78469482 104625976 156938964 313877928