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312343728372 = 223413127583903
BaseRepresentation
bin1001000101110010010…
…00110001000011110100
31002212012202211101210000
410202321020301003310
520104134443301442
6355253322031300
731365111612534
oct4427110610364
91085182741700
10312343728372
1111051198a105
125064b348530
13235b9261ab0
14111906774c4
1581d11c9d4c
hex48b92310f4

312343728372 has 120 divisors (see below), whose sum is σ = 886263504896. Its totient is φ = 95348860992.

The previous prime is 312343728349. The next prime is 312343728379. The reversal of 312343728372 is 273827343213.

312343728372 is a `hidden beast` number, since 3 + 123 + 437 + 28 + 3 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312343728379) 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, 242973 + ... + 826875.

Almost surely, 2312343728372 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 312343728372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443131752448).

312343728372 is an abundant number, since it is smaller than the sum of its proper divisors (573919776524).

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

312343728372 is a wasteful number, since it uses less digits than its factorization.

312343728372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584059 (or 584048 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 312343728372 in words is "three hundred twelve billion, three hundred forty-three million, seven hundred twenty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 127 156 162 234 254 324 351 381 468 508 702 762 1053 1143 1404 1524 1651 2106 2286 3302 3429 4212 4572 4953 6604 6858 9906 10287 13716 14859 19812 20574 29718 41148 44577 59436 89154 133731 178308 267462 534924 583903 1167806 1751709 2335612 3503418 5255127 7006836 7590739 10510254 15181478 15765381 21020508 22772217 30362956 31530762 45544434 47296143 63061524 68316651 74155681 91088868 94592286 136633302 148311362 189184572 204949953 222467043 273266604 296622724 409899906 444934086 614849859 667401129 819799812 889868172 964023853 1229699718 1334802258 1928047706 2002203387 2459399436 2669604516 2892071559 3856095412 4004406774 5784143118 6006610161 8008813548 8676214677 11568286236 12013220322 17352429354 24026440644 26028644031 34704858708 52057288062 78085932093 104114576124 156171864186 312343728372