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380704356 = 223210575121
BaseRepresentation
bin10110101100010…
…001011001100100
3222112100210012100
4112230101121210
51234430014411
6101435452100
712301635144
oct2654213144
9875323170
10380704356
111859968aa
12a75b7030
1360b46966
14387c0924
1523651456
hex16b11664

380704356 has 18 divisors (see below), whose sum is σ = 962336102. Its totient is φ = 126901440.

The previous prime is 380704351. The next prime is 380704361. The reversal of 380704356 is 653407083.

It is a happy number.

380704356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (380704351) and next prime (380704361).

It can be written as a sum of positive squares in only one way, i.e., 255488256 + 125216100 = 15984^2 + 11190^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10575121 = 380704356 / (3 + 8 + 0 + 7 + 0 + 4 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 380704356.

It is not an unprimeable number, because it can be changed into a prime (380704351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5287525 + ... + 5287596.

Almost surely, 2380704356 is an apocalyptic number.

380704356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

380704356 is an abundant number, since it is smaller than the sum of its proper divisors (581631746).

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

380704356 is a wasteful number, since it uses less digits than its factorization.

380704356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575131 (or 10575126 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 380704356 is about 19511.6466757678. The cubic root of 380704356 is about 724.7628909922.

The spelling of 380704356 in words is "three hundred eighty million, seven hundred four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 10575121 21150242 31725363 42300484 63450726 95176089 126901452 190352178 380704356