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380031264 = 2534146617
BaseRepresentation
bin10110101001101…
…101000100100000
3222111002120220000
4112221231010200
51234242000024
6101413220000
712263132604
oct2651550440
9874076800
10380031264
11185577128
12a7331600
136096c492
1438687504
152356bcc9
hex16a6d120

380031264 has 60 divisors (see below), whose sum is σ = 1117669014. Its totient is φ = 126676224.

The previous prime is 380031251. The next prime is 380031307. The reversal of 380031264 is 462130083.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 320123664 + 59907600 = 17892^2 + 7740^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 70717 + ... + 75900.

Almost surely, 2380031264 is an apocalyptic number.

It is an amenable number.

380031264 is an abundant number, since it is smaller than the sum of its proper divisors (737637750).

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

380031264 is a wasteful number, since it uses less digits than its factorization.

380031264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146639 (or 146622 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 380031264 is about 19494.3905778047. The cubic root of 380031264 is about 724.3355078383.

The spelling of 380031264 in words is "three hundred eighty million, thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 146617 293234 439851 586468 879702 1172936 1319553 1759404 2345872 2639106 3518808 3958659 4691744 5278212 7037616 7917318 10556424 11875977 14075232 15834636 21112848 23751954 31669272 42225696 47503908 63338544 95007816 126677088 190015632 380031264