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379309392 = 24357211181
BaseRepresentation
bin10110100110111…
…100110101010000
3222102201220200000
4112212330311100
51234100400032
6101345530000
712254035200
oct2646746520
9872656600
10379309392
11185123840
12a7043900
1360778a37
143853a400
1523477e7c
hex169bcd50

379309392 has 360 divisors, whose sum is σ = 1404722592. Its totient is φ = 97977600.

The previous prime is 379309373. The next prime is 379309453. The reversal of 379309392 is 293903973.

It is a super-2 number, since 2×3793093922 = 287751229718819328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095542 + ... + 2095722.

Almost surely, 2379309392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379309392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702361296).

379309392 is an abundant number, since it is smaller than the sum of its proper divisors (1025413200).

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

379309392 is a wasteful number, since it uses less digits than its factorization.

379309392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 45.

The square root of 379309392 is about 19475.8669126691. The cubic root of 379309392 is about 723.8765903834.

The spelling of 379309392 in words is "three hundred seventy-nine million, three hundred nine thousand, three hundred ninety-two".