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816380664 = 2331117181903
BaseRepresentation
bin110000101010001…
…111101011111000
32002220011102201220
4300222033223320
53132443140124
6213001512040
726142056361
oct6052175370
92086142656
10816380664
11389909970
121a94a2620
13100199aa8
147a5d0b68
154ba10879
hex30a8faf8

816380664 has 64 divisors (see below), whose sum is σ = 2357475840. Its totient is φ = 232834560.

The previous prime is 816380659. The next prime is 816380683. The reversal of 816380664 is 466083618.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86464 + ... + 95439.

It is an arithmetic number, because the mean of its divisors is an integer number (36835560).

Almost surely, 2816380664 is an apocalyptic number.

It is an amenable number.

816380664 is an abundant number, since it is smaller than the sum of its proper divisors (1541095176).

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

816380664 is a wasteful number, since it uses less digits than its factorization.

816380664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181940 (or 181936 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 816380664 is about 28572.3758900096. The cubic root of 816380664 is about 934.6110325047.

The spelling of 816380664 in words is "eight hundred sixteen million, three hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 181903 363806 545709 727612 1091418 1455224 2000933 2182836 3092351 4001866 4365672 6002799 6184702 8003732 9277053 12005598 12369404 16007464 18554106 24011196 24738808 34015861 37108212 48022392 68031722 74216424 102047583 136063444 204095166 272126888 408190332 816380664