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313852944 = 243193771131
BaseRepresentation
bin10010101101010…
…000010000010000
3210212120101022010
4102231100100100
51120321243234
651050542520
710530464106
oct2255202020
9725511263
10313852944
111511863a9
1289137a40
135003b302
142d97bc76
151c8486e9
hex12b50410

313852944 has 160 divisors (see below), whose sum is σ = 895656960. Its totient is φ = 94348800.

The previous prime is 313852939. The next prime is 313852951. The reversal of 313852944 is 449258313.

313852944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2395759 + ... + 2395889.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2313852944 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 313852944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447828480).

313852944 is an abundant number, since it is smaller than the sum of its proper divisors (581804016).

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

313852944 is a wasteful number, since it uses less digits than its factorization.

313852944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 313852944 is about 17715.8952356351. The cubic root of 313852944 is about 679.5823155810.

The spelling of 313852944 in words is "three hundred thirteen million, eight hundred fifty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 71 74 76 111 114 131 142 148 152 213 222 228 262 284 296 304 393 426 444 456 524 568 592 703 786 852 888 912 1048 1136 1349 1406 1572 1704 1776 2096 2109 2489 2627 2698 2812 3144 3408 4047 4218 4847 4978 5254 5396 5624 6288 7467 7881 8094 8436 9301 9694 9956 10508 10792 11248 14541 14934 15762 16188 16872 18602 19388 19912 21016 21584 27903 29082 29868 31524 32376 33744 37204 38776 39824 42032 49913 55806 58164 59736 63048 64752 74408 77552 92093 99826 111612 116328 119472 126096 148816 149739 176719 184186 199652 223224 232656 276279 299478 344137 353438 368372 399304 446448 530157 552558 598956 688274 706876 736744 798608 1032411 1060314 1105116 1197912 1376548 1413752 1473488 2064822 2120628 2210232 2395824 2753096 2827504 4129644 4241256 4420464 5506192 6538603 8259288 8482512 13077206 16518576 19615809 26154412 39231618 52308824 78463236 104617648 156926472 313852944