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380363256 = 233371337523
BaseRepresentation
bin10110101010111…
…110000111111000
3222111201110022000
4112222332013320
51234333111011
6101424301000
712266014530
oct2652760770
9874643260
10380363256
111857835a9
12a7471760
1360a57620
14387324c0
15235d5356
hex16abe1f8

380363256 has 256 divisors, whose sum is σ = 1338086400. Its totient is φ = 97417728.

The previous prime is 380363237. The next prime is 380363267. The reversal of 380363256 is 652363083.

It is a happy number.

380363256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 380363256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727011 + ... + 727533.

It is an arithmetic number, because the mean of its divisors is an integer number (5226900).

Almost surely, 2380363256 is an apocalyptic number.

380363256 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 380363256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669043200).

380363256 is an abundant number, since it is smaller than the sum of its proper divisors (957723144).

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

380363256 is a wasteful number, since it uses less digits than its factorization.

380363256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 380363256 is about 19502.9037837959. The cubic root of 380363256 is about 724.5463708430.

The spelling of 380363256 in words is "three hundred eighty million, three hundred sixty-three thousand, two hundred fifty-six".