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380975616 = 2933731127
BaseRepresentation
bin10110101101010…
…011101000000000
3222112212120022000
4112231103220000
51240012204431
6101445344000
712304145040
oct2655235000
9875776260
10380975616
1118606168a
12a7708000
1360c10278
1438851720
15236a69e6
hex16b53a00

380975616 has 320 divisors, whose sum is σ = 1340866560. Its totient is φ = 104509440.

The previous prime is 380975591. The next prime is 380975629. The reversal of 380975616 is 616579083.

It is a happy number.

380975616 is a `hidden beast` number, since 3 + 80 + 9 + 7 + 561 + 6 = 666.

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, 2999745 + ... + 2999871.

It is an arithmetic number, because the mean of its divisors is an integer number (4190208).

Almost surely, 2380975616 is an apocalyptic number.

380975616 is a gapful number since it is divisible by the number (36) 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 380975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670433280).

380975616 is an abundant number, since it is smaller than the sum of its proper divisors (959890944).

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

380975616 is a wasteful number, since it uses less digits than its factorization.

380975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 380975616 is about 19518.5966708675. The cubic root of 380975616 is about 724.9349864809.

The spelling of 380975616 in words is "three hundred eighty million, nine hundred seventy-five thousand, six hundred sixteen".