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380398656 = 263112341191
BaseRepresentation
bin10110101011000…
…110110001000000
3222111210020212010
4112223012301000
51234340224111
6101425132520
712266222661
oct2653066100
9874706763
10380398656
111857a8160
12a748a140
1360a6a781
1438741368
15235e0aa6
hex16ac6c40

380398656 has 224 divisors, whose sum is σ = 1179795456. Its totient is φ = 107008000.

The previous prime is 380398643. The next prime is 380398661. The reversal of 380398656 is 656893083.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1991521 + ... + 1991711.

It is an arithmetic number, because the mean of its divisors is an integer number (5266944).

Almost surely, 2380398656 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 380398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589897728).

380398656 is an abundant number, since it is smaller than the sum of its proper divisors (799396800).

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

380398656 is a wasteful number, since it uses less digits than its factorization.

380398656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 380398656 is about 19503.8113198421. The cubic root of 380398656 is about 724.5688477301.

The spelling of 380398656 in words is "three hundred eighty million, three hundred ninety-eight thousand, six hundred fifty-six".