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374190336 = 2832132312
BaseRepresentation
bin10110010011011…
…011000100000000
3222002002211122100
4112103123010000
51231243042321
6101044110400
712162364632
oct2623330400
9862084570
10374190336
11182247813
12a5395400
135c6a5a00
14379a6a52
1522cb6326
hex164db100

374190336 has 243 divisors, whose sum is σ = 1207159317. Its totient is φ = 111421440.

The previous prime is 374190319. The next prime is 374190353. The reversal of 374190336 is 633091473.

The square root of 374190336 is 19344.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (374190319) and next prime (374190353).

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 318836736 = 7440^2 + 17856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 374190336.

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 26 ways as a sum of consecutive naturals, for example, 12070641 + ... + 12070671.

Almost surely, 2374190336 is an apocalyptic number.

374190336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

374190336 is the 19344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374190336

374190336 is an abundant number, since it is smaller than the sum of its proper divisors (832968981).

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

374190336 is a wasteful number, since it uses less digits than its factorization.

374190336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The cubic root of 374190336 is about 720.6054167146.

Multiplying 374190336 by its sum of digits (36), we get a square (13470852096 = 1160642).

374190336 divided by its sum of digits (36) gives a square (10394176 = 32242).

The spelling of 374190336 in words is "three hundred seventy-four million, one hundred ninety thousand, three hundred thirty-six".