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374575680 = 26325831567
BaseRepresentation
bin10110010100111…
…001001001000000
3222002211102020100
4112110321021000
51231342410210
6101100242400
712165561243
oct2624711100
9862742210
10374575680
11182490286
12a5540400
135c7ac21b
1437a6725a
1522d405c0
hex16539240

374575680 has 168 divisors, whose sum is σ = 1304739072. Its totient is φ = 98620416.

The previous prime is 374575667. The next prime is 374575717. The reversal of 374575680 is 86575473.

374575680 is a `hidden beast` number, since 3 + 74 + 575 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 238257 + ... + 239823.

It is an arithmetic number, because the mean of its divisors is an integer number (7766304).

Almost surely, 2374575680 is an apocalyptic number.

374575680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652369536).

374575680 is an abundant number, since it is smaller than the sum of its proper divisors (930163392).

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

374575680 is a wasteful number, since it uses less digits than its factorization.

374575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 374575680 is about 19353.9577347890. The cubic root of 374575680 is about 720.8526934632.

The spelling of 374575680 in words is "three hundred seventy-four million, five hundred seventy-five thousand, six hundred eighty".