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380580096 = 2831338119
BaseRepresentation
bin10110101011110…
…011000100000000
3222112010110202010
4112223303010000
51234412030341
6101433052520
712300606651
oct2653630400
9875113663
10380580096
11185911506
12a7557140
1360b02230
143878b528
1523629716
hex16af3100

380580096 has 72 divisors (see below), whose sum is σ = 1090841920. Its totient is φ = 117098496.

The previous prime is 380580077. The next prime is 380580097. The reversal of 380580096 is 690085083.

380580096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (380580097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9076 + ... + 29043.

Almost surely, 2380580096 is an apocalyptic number.

It is an amenable number.

380580096 is an abundant number, since it is smaller than the sum of its proper divisors (710261824).

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

380580096 is a wasteful number, since it uses less digits than its factorization.

380580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38151 (or 38137 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 380580096 is about 19508.4621638919. The cubic root of 380580096 is about 724.6840294159.

The spelling of 380580096 in words is "three hundred eighty million, five hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 38119 76238 114357 152476 228714 304952 457428 495547 609904 914856 991094 1219808 1486641 1829712 1982188 2439616 2973282 3659424 3964376 4879232 5946564 7318848 7928752 9758464 11893128 14637696 15857504 23786256 29275392 31715008 47572512 63430016 95145024 126860032 190290048 380580096