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3680816328 = 2332741178127
BaseRepresentation
bin1101101101100100…
…1100110011001000
3100111112002211202200
43123121030303020
530014242110303
61405124400200
7160133264640
oct33331146310
910445084680
103680816328
1116197a7872
12868846060
13468767c37
1426cbc9520
151682273a3
hexdb64ccc8

3680816328 has 96 divisors (see below), whose sum is σ = 11670946560. Its totient is φ = 1026005760.

The previous prime is 3680816281. The next prime is 3680816407. The reversal of 3680816328 is 8236180863.

3680816328 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 8 + 1 + 632 + 8 = 666.

3680816328 is digitally balanced in base 2, 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 23 ways as a sum of consecutive naturals, for example, 68400 + ... + 109727.

It is an arithmetic number, because the mean of its divisors is an integer number (121572360).

Almost surely, 23680816328 is an apocalyptic number.

It is an amenable number.

3680816328 is an abundant number, since it is smaller than the sum of its proper divisors (7990130232).

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

3680816328 is a wasteful number, since it uses less digits than its factorization.

3680816328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178187 (or 178180 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3680816328 is about 60669.7315636059. The cubic root of 3680816328 is about 1544.0026768010.

The spelling of 3680816328 in words is "three billion, six hundred eighty million, eight hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 5166 6888 10332 20664 178127 356254 534381 712508 1068762 1246889 1425016 1603143 2137524 2493778 3206286 3740667 4275048 4987556 6412572 7303207 7481334 9975112 11222001 12825144 14606414 14962668 21909621 22444002 29212828 29925336 43819242 44888004 51122449 58425656 65728863 87638484 89776008 102244898 131457726 153367347 175276968 204489796 262915452 306734694 408979592 460102041 525830904 613469388 920204082 1226938776 1840408164 3680816328