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382664436 = 223711237649
BaseRepresentation
bin10110110011101…
…111111011110100
3222200001100220220
4112303233323310
51240430230221
6101545454340
712324410520
oct2663577364
9880040826
10382664436
11187005500
12a81a13b0
1361381b7b
1438b70d80
15238dc0c6
hex16cefef4

382664436 has 72 divisors (see below), whose sum is σ = 1121668800. Its totient is φ = 99390720.

The previous prime is 382664419. The next prime is 382664437. The reversal of 382664436 is 634466283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382664437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8661 + ... + 28988.

Almost surely, 2382664436 is an apocalyptic number.

It is an amenable number.

382664436 is an abundant number, since it is smaller than the sum of its proper divisors (739004364).

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

382664436 is a wasteful number, since it uses less digits than its factorization.

382664436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37685 (or 37672 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 382664436 is about 19561.8106523911. The cubic root of 382664436 is about 726.0045913392.

The spelling of 382664436 in words is "three hundred eighty-two million, six hundred sixty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 37649 75298 112947 150596 225894 263543 414139 451788 527086 790629 828278 1054172 1242417 1581258 1656556 2484834 2898973 3162516 4555529 4969668 5797946 8696919 9111058 11595892 13666587 17393838 18222116 27333174 31888703 34787676 54666348 63777406 95666109 127554812 191332218 382664436