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379411560 = 2333511109293
BaseRepresentation
bin10110100111010…
…101110001101000
3222102221002211000
4112213111301220
51234112132220
6101352035000
712254642103
oct2647256150
9872832730
10379411560
11185193580
12a7092a60
13607b33a8
143856573a
1523498390
hex169d5c68

379411560 has 256 divisors, whose sum is σ = 1397088000. Its totient is φ = 90823680.

The previous prime is 379411547. The next prime is 379411561. The reversal of 379411560 is 65114973.

379411560 is a `hidden beast` number, since 3 + 7 + 94 + 1 + 1 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (379411561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1294774 + ... + 1295066.

It is an arithmetic number, because the mean of its divisors is an integer number (5457375).

Almost surely, 2379411560 is an apocalyptic number.

379411560 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 379411560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698544000).

379411560 is an abundant number, since it is smaller than the sum of its proper divisors (1017676440).

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

379411560 is a wasteful number, since it uses less digits than its factorization.

379411560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 379411560 is about 19478.4896745102. The cubic root of 379411560 is about 723.9415772480.

The spelling of 379411560 in words is "three hundred seventy-nine million, four hundred eleven thousand, five hundred sixty".