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331345316376 = 233243163656587
BaseRepresentation
bin1001101001001011011…
…10000100101000011000
31011200021000200002020200
410310211232010220120
520412043400111001
6412115024022200
732640021501354
oct4644556045030
91150230602220
10331345316376
1111858287a448
1254272a61960
1325326b372a9
1412074106464
15894447a086
hex4d25b84a18

331345316376 has 96 divisors (see below), whose sum is σ = 923898106560. Its totient is φ = 107217867456.

The previous prime is 331345316339. The next prime is 331345316417. The reversal of 331345316376 is 673613543133.

331345316376 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 4 + 5 + 3 + 1 + 637 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176355 + ... + 832941.

It is an arithmetic number, because the mean of its divisors is an integer number (9623938610).

Almost surely, 2331345316376 is an apocalyptic number.

331345316376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331345316376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461949053280).

331345316376 is an abundant number, since it is smaller than the sum of its proper divisors (592552790184).

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

331345316376 is a wasteful number, since it uses less digits than its factorization.

331345316376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656805 (or 656798 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 45.

The spelling of 331345316376 in words is "three hundred thirty-one billion, three hundred forty-five million, three hundred sixteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 163 172 258 326 344 387 489 516 652 774 978 1032 1304 1467 1548 1956 2934 3096 3912 5868 7009 11736 14018 21027 28036 42054 56072 63081 84108 126162 168216 252324 504648 656587 1313174 1969761 2626348 3939522 5252696 5909283 7879044 11818566 15758088 23637132 28233241 47274264 56466482 84699723 107023681 112932964 169399446 214047362 225865928 254099169 321071043 338798892 428094724 508198338 642142086 677597784 856189448 963213129 1016396676 1284284172 1926426258 2032793352 2568568344 3852852516 4602018283 7705705032 9204036566 13806054849 18408073132 27612109698 36816146264 41418164547 55224219396 82836329094 110448438792 165672658188 331345316376