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376284480 = 263511132741
BaseRepresentation
bin10110011011011…
…010010101000000
3222020001020021020
4112123122111000
51232312100410
6101201025440
712216236205
oct2633322500
9866036236
10376284480
11183448110
12a6025280
135cc59c50
1437d8dcac
152307ba70
hex166da540

376284480 has 224 divisors, whose sum is σ = 1404079488. Its totient is φ = 84172800.

The previous prime is 376284473. The next prime is 376284481. The reversal of 376284480 is 84482673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376284481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135910 + ... + 138650.

It is an arithmetic number, because the mean of its divisors is an integer number (6268212).

Almost surely, 2376284480 is an apocalyptic number.

376284480 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 376284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702039744).

376284480 is an abundant number, since it is smaller than the sum of its proper divisors (1027795008).

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

376284480 is a wasteful number, since it uses less digits than its factorization.

376284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 376284480 is about 19398.0535105974. The cubic root of 376284480 is about 721.9471983035.

The spelling of 376284480 in words is "three hundred seventy-six million, two hundred eighty-four thousand, four hundred eighty".