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330394308672 = 26322712795927
BaseRepresentation
bin1001100111011010000…
…10010001000001000000
31011120210202011212221010
410303231002101001000
520403121420334142
6411440412400520
732604323200221
oct4635502210100
91146722155833
10330394308672
11118134a7926a
1254048476140
1325204ac193c
1411dc3aad248
1588dac24e9c
hex4ced091040

330394308672 has 112 divisors (see below), whose sum is σ = 878853980160. Its totient is φ = 109542062592.

The previous prime is 330394308659. The next prime is 330394308691. The reversal of 330394308672 is 276803493033.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55740973 + ... + 55746899.

Almost surely, 2330394308672 is an apocalyptic number.

330394308672 is a gapful number since it is divisible by the number (32) 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 330394308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439426990080).

330394308672 is an abundant number, since it is smaller than the sum of its proper divisors (548459671488).

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

330394308672 is a wasteful number, since it uses less digits than its factorization.

330394308672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 330394308672 in words is "three hundred thirty billion, three hundred ninety-four million, three hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1279 1362 1816 2558 2724 3632 3837 5116 5448 5927 7264 7674 10232 10896 11854 14528 15348 17781 20464 21792 23708 30696 35562 40928 43584 47416 61392 71124 81856 94832 122784 142248 189664 245568 284496 290333 379328 568992 580666 870999 1137984 1161332 1345429 1741998 2322664 2690858 3483996 4036287 4645328 5381716 6967992 7580633 8072574 9290656 10763432 13935984 15161266 16145148 18581312 21526864 22741899 27871968 30322532 32290296 43053728 45483798 55743936 60645064 64580592 86107456 90967596 121290128 129161184 181935192 242580256 258322368 363870384 485160512 727740768 1455481536 1720803691 3441607382 5162411073 6883214764 10324822146 13766429528 20649644292 27532859056 41299288584 55065718112 82598577168 110131436224 165197154336 330394308672