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380918160 = 24335725961
BaseRepresentation
bin10110101101000…
…101100110010000
3222112202122111000
4112231011212100
51240003340120
6101444222000
712303515400
oct2655054620
9875678430
10380918160
111860224a7
12a769a900
1360bc007c
1438838800
1523694990
hex16b45990

380918160 has 480 divisors, whose sum is σ = 1577577600. Its totient is φ = 84188160.

The previous prime is 380918129. The next prime is 380918179. The reversal of 380918160 is 61819083.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6244530 + ... + 6244590.

It is an arithmetic number, because the mean of its divisors is an integer number (3286620).

Almost surely, 2380918160 is an apocalyptic number.

380918160 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 380918160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788788800).

380918160 is an abundant number, since it is smaller than the sum of its proper divisors (1196659440).

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

380918160 is a wasteful number, since it uses less digits than its factorization.

380918160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 380918160 is about 19517.1247882469. The cubic root of 380918160 is about 724.8985414900.

The spelling of 380918160 in words is "three hundred eighty million, nine hundred eighteen thousand, one hundred sixty".