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380894976 = 283271119113
BaseRepresentation
bin10110101100111…
…111111100000000
3222112201110200100
4112230333330000
51240002114401
6101443522400
712303360660
oct2654777400
9875643610
10380894976
11186007040
12a7689400
1360bb2657
14388301a0
152368cb86
hex16b3ff00

380894976 has 432 divisors, whose sum is σ = 1454019840. Its totient is φ = 92897280.

The previous prime is 380894963. The next prime is 380894999. The reversal of 380894976 is 679498083.

380894976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3370696 + ... + 3370808.

Almost surely, 2380894976 is an apocalyptic number.

380894976 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 380894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727009920).

380894976 is an abundant number, since it is smaller than the sum of its proper divisors (1073124864).

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

380894976 is a wasteful number, since it uses less digits than its factorization.

380894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 380894976 is about 19516.5308392655. The cubic root of 380894976 is about 724.8838345787.

The spelling of 380894976 in words is "three hundred eighty million, eight hundred ninety-four thousand, nine hundred seventy-six".