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376344480 = 25355997137
BaseRepresentation
bin10110011011101…
…000111110100000
3222020011021120110
4112123220332200
51232321010410
6101202211320
712216606141
oct2633507640
9866137513
10376344480
111834891a6
12a6053b40
135cc7b355
1437da7ac8
152308e720
hex166e8fa0

376344480 has 192 divisors, whose sum is σ = 1226897280. Its totient is φ = 96927744.

The previous prime is 376344473. The next prime is 376344503. The reversal of 376344480 is 84443673.

376344480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2746972 + ... + 2747108.

It is an arithmetic number, because the mean of its divisors is an integer number (6390090).

Almost surely, 2376344480 is an apocalyptic number.

376344480 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 376344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613448640).

376344480 is an abundant number, since it is smaller than the sum of its proper divisors (850552800).

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

376344480 is a wasteful number, since it uses less digits than its factorization.

376344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 376344480 is about 19399.5999958762. The cubic root of 376344480 is about 721.9855686784.

The spelling of 376344480 in words is "three hundred seventy-six million, three hundred forty-four thousand, four hundred eighty".