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380640864 = 25322717467
BaseRepresentation
bin10110101100000…
…001111001100000
3222112020120002210
4112230001321200
51234421001424
6101434242120
712301252062
oct2654017140
9875216083
10380640864
1118595312a
12a7586340
1360b23aa6
14387a5732
152363c729
hex16b01e60

380640864 has 48 divisors (see below), whose sum is σ = 1003641408. Its totient is φ = 126314112.

The previous prime is 380640857. The next prime is 380640877. The reversal of 380640864 is 468046083.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13059 + ... + 30525.

It is an arithmetic number, because the mean of its divisors is an integer number (20909196).

Almost surely, 2380640864 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 380640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501820704).

380640864 is an abundant number, since it is smaller than the sum of its proper divisors (623000544).

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

380640864 is a wasteful number, since it uses less digits than its factorization.

380640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17707 (or 17699 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 380640864 is about 19510.0195796929. The cubic root of 380640864 is about 724.7225979554.

The spelling of 380640864 in words is "three hundred eighty million, six hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1362 1816 2724 3632 5448 7264 10896 17467 21792 34934 52401 69868 104802 139736 209604 279472 419208 558944 838416 1676832 3965009 7930018 11895027 15860036 23790054 31720072 47580108 63440144 95160216 126880288 190320432 380640864