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380697312 = 2538534649
BaseRepresentation
bin10110101100001…
…111101011100000
3222112100102112110
4112230033223200
51234424303222
6101435355320
712301605462
oct2654175340
9875312473
10380697312
11185991586
12a75b2b40
1360b436a8
14387bc132
152364e30c
hex16b0fae0

380697312 has 48 divisors (see below), whose sum is σ = 1000717200. Its totient is φ = 126723072.

The previous prime is 380697221. The next prime is 380697347. The reversal of 380697312 is 213796083.

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, 79564 + ... + 84212.

It is an arithmetic number, because the mean of its divisors is an integer number (20848275).

Almost surely, 2380697312 is an apocalyptic number.

380697312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

380697312 is an abundant number, since it is smaller than the sum of its proper divisors (620019888).

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

380697312 is a wasteful number, since it uses less digits than its factorization.

380697312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 380697312 is about 19511.4661673591. The cubic root of 380697312 is about 724.7584209783.

The spelling of 380697312 in words is "three hundred eighty million, six hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 853 1706 2559 3412 4649 5118 6824 9298 10236 13648 13947 18596 20472 27296 27894 37192 40944 55788 74384 81888 111576 148768 223152 446304 3965597 7931194 11896791 15862388 23793582 31724776 47587164 63449552 95174328 126899104 190348656 380697312