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379923072 = 2731758199
BaseRepresentation
bin10110101001010…
…010101010000000
3222110220002110220
4112221102222000
51234230014242
6101411023040
712262202304
oct2651225200
9873802426
10379923072
11185502911
12a729aa80
1360932169
1438659d04
1523549bec
hex16a52a80

379923072 has 64 divisors (see below), whose sum is σ = 1068552000. Its totient is φ = 119189504.

The previous prime is 379923029. The next prime is 379923077. The reversal of 379923072 is 270329973.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (379923077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22572 + ... + 35627.

It is an arithmetic number, because the mean of its divisors is an integer number (16696125).

Almost surely, 2379923072 is an apocalyptic number.

379923072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

379923072 is an abundant number, since it is smaller than the sum of its proper divisors (688628928).

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

379923072 is a wasteful number, since it uses less digits than its factorization.

379923072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58233 (or 58221 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 42.

The square root of 379923072 is about 19491.6154281783. The cubic root of 379923072 is about 724.2667637176.

The spelling of 379923072 in words is "three hundred seventy-nine million, nine hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 58199 116398 174597 232796 349194 465592 698388 931184 989383 1396776 1862368 1978766 2793552 2968149 3724736 3957532 5587104 5936298 7449472 7915064 11174208 11872596 15830128 22348416 23745192 31660256 47490384 63320512 94980768 126641024 189961536 379923072