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379630656 = 26323747379
BaseRepresentation
bin10110101000001…
…011010001000000
3222110100020100200
4112220023101000
51234141140111
6101400445200
712256543626
oct2650132100
9873306320
10379630656
11185323149
12a7179800
136085c032
14385c1516
15234dd256
hex16a0b440

379630656 has 168 divisors, whose sum is σ = 1144341120. Its totient is φ = 120185856.

The previous prime is 379630651. The next prime is 379630661. The reversal of 379630656 is 656036973.

379630656 is a `hidden beast` number, since 3 + 7 + 9 + 630 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (379630651) and next prime (379630661).

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

It is not an unprimeable number, because it can be changed into a prime (379630651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1001475 + ... + 1001853.

Almost surely, 2379630656 is an apocalyptic number.

379630656 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 379630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572170560).

379630656 is an abundant number, since it is smaller than the sum of its proper divisors (764710464).

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

379630656 is a wasteful number, since it uses less digits than its factorization.

379630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 379630656 is about 19484.1129128323. The cubic root of 379630656 is about 724.0809001710.

The spelling of 379630656 in words is "three hundred seventy-nine million, six hundred thirty thousand, six hundred fifty-six".