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380926656 = 263211591019
BaseRepresentation
bin10110101101000…
…111101011000000
3222112210002010200
4112231013223000
51240004123111
6101444325200
712303552225
oct2655075300
9875702120
10380926656
11186028920
12a76a3800
1360bc3bb6
143883b94c
1523697256
hex16b47ac0

380926656 has 168 divisors, whose sum is σ = 1212494400. Its totient is φ = 113364480.

The previous prime is 380926631. The next prime is 380926669. The reversal of 380926656 is 656629083.

It is a happy number.

380926656 is a `hidden beast` number, since 380 + 9 + 266 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373315 + ... + 374333.

Almost surely, 2380926656 is an apocalyptic number.

380926656 is a gapful number since it is divisible by the number (36) 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 380926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606247200).

380926656 is an abundant number, since it is smaller than the sum of its proper divisors (831567744).

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

380926656 is a wasteful number, since it uses less digits than its factorization.

380926656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 380926656 is about 19517.3424420437. The cubic root of 380926656 is about 724.9039308298.

The spelling of 380926656 in words is "three hundred eighty million, nine hundred twenty-six thousand, six hundred fifty-six".