Search a number
-
+
381630964 = 221113719397
BaseRepresentation
bin10110101111110…
…011100111110100
3222121002212021011
4112233303213310
51240144142324
6101511402004
712312544501
oct2657634764
9877085234
10381630964
11186469aa0
12a7983304
13610ac650
14389824a8
1523785c94
hex16bf39f4

381630964 has 48 divisors (see below), whose sum is σ = 795747456. Its totient is φ = 157852800.

The previous prime is 381630959. The next prime is 381630983. The reversal of 381630964 is 469036183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35914 + ... + 45310.

It is an arithmetic number, because the mean of its divisors is an integer number (16578072).

Almost surely, 2381630964 is an apocalyptic number.

It is an amenable number.

381630964 is an abundant number, since it is smaller than the sum of its proper divisors (414116492).

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

381630964 is a wasteful number, since it uses less digits than its factorization.

381630964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 381630964 is about 19535.3772423263. The cubic root of 381630964 is about 725.3504221174.

The spelling of 381630964 in words is "three hundred eighty-one million, six hundred thirty thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 71 142 143 284 286 572 781 923 1562 1846 3124 3692 9397 10153 18794 20306 37588 40612 103367 122161 206734 244322 413468 488644 667187 1334374 1343771 2668748 2687542 5375084 7339057 8673431 14678114 17346862 29356228 34693724 95407741 190815482 381630964