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379330560 = 21333573
BaseRepresentation
bin10110100111000…
…010000000000000
3222102202222201000
4112213002000000
51234102034220
6101350212000
712254154000
oct2647020000
9872688630
10379330560
11185138734
12a7054000
136078556b
1438544000
152347e390
hex169c2000

379330560 has 448 divisors, whose sum is σ = 1572768000. Its totient is φ = 86704128.

The previous prime is 379330541. The next prime is 379330579. The reversal of 379330560 is 65033973.

379330560 is a `hidden beast` number, since 3 + 7 + 93 + 3 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (379330541) and next prime (379330579).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54190077 + ... + 54190083.

Almost surely, 2379330560 is an apocalyptic number.

379330560 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 379330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786384000).

379330560 is an abundant number, since it is smaller than the sum of its proper divisors (1193437440).

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

379330560 is an frugal number, since it uses more digits than its factorization.

379330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 379330560 is about 19476.4103468786. The cubic root of 379330560 is about 723.8900558507.

The spelling of 379330560 in words is "three hundred seventy-nine million, three hundred thirty thousand, five hundred sixty".