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379074080 = 255711291061
BaseRepresentation
bin10110100110000…
…011011000100000
3222102021221212202
4112212003120200
51234020332310
6101340512332
712252035150
oct2646033040
9872257782
10379074080
11184a82a70
12a6b4b6a8
13606c58b8
14384b8760
152342d3a5
hex16983620

379074080 has 192 divisors, whose sum is σ = 1156135680. Its totient is φ = 113971200.

The previous prime is 379074067. The next prime is 379074089. The reversal of 379074080 is 80470973.

It is not an unprimeable number, because it can be changed into a prime (379074089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356750 + ... + 357810.

It is an arithmetic number, because the mean of its divisors is an integer number (6021540).

Almost surely, 2379074080 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 379074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578067840).

379074080 is an abundant number, since it is smaller than the sum of its proper divisors (777061600).

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

379074080 is a wasteful number, since it uses less digits than its factorization.

379074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 379074080 is about 19469.8248579693. The cubic root of 379074080 is about 723.7268690847.

The spelling of 379074080 in words is "three hundred seventy-nine million, seventy-four thousand, eighty".