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379904256 = 283531197
BaseRepresentation
bin10110101001001…
…110000100000000
3222110212010200000
4112221032010000
51234223414011
6101410400000
712262063404
oct2651160400
9873763600
10379904256
1118549a766
12a7290000
1360926724
1438653104
1523544356
hex16a4e100

379904256 has 216 divisors, whose sum is σ = 1178521344. Its totient is φ = 121927680.

The previous prime is 379904233. The next prime is 379904267. The reversal of 379904256 is 652409973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928350 + ... + 1928546.

Almost surely, 2379904256 is an apocalyptic number.

379904256 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 379904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589260672).

379904256 is an abundant number, since it is smaller than the sum of its proper divisors (798617088).

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

379904256 is an equidigital number, since it uses as much as digits as its factorization.

379904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 379904256 is about 19491.1327531265. The cubic root of 379904256 is about 724.2548068861.

The spelling of 379904256 in words is "three hundred seventy-nine million, nine hundred four thousand, two hundred fifty-six".