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380997760 = 275111323181
BaseRepresentation
bin10110101101011…
…001000010000000
3222112220200200011
4112231121002000
51240013412020
6101450034304
712304266433
oct2655310200
9875820604
10380997760
11186077290
12a7718994
1360c1a380
143885981a
15236ad35a
hex16b59080

380997760 has 256 divisors, whose sum is σ = 1122750720. Its totient is φ = 121651200.

The previous prime is 380997739. The next prime is 380997779. The reversal of 380997760 is 67799083.

It is an unprimeable number.

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, 2104870 + ... + 2105050.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2380997760 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 380997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561375360).

380997760 is an abundant number, since it is smaller than the sum of its proper divisors (741752960).

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

380997760 is a wasteful number, since it uses less digits than its factorization.

380997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 380997760 is about 19519.1639165206. The cubic root of 380997760 is about 724.9490316924.

The spelling of 380997760 in words is "three hundred eighty million, nine hundred ninety-seven thousand, seven hundred sixty".