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380800008 = 23331762963
BaseRepresentation
bin10110101100101…
…000110000001000
3222112112122102000
4112230220300020
51234441100013
6101441511000
712302514051
oct2654506010
9875478360
10380800008
11185a51756
12a7642460
1360b7b364
1438807728
152366e973
hex16b28c08

380800008 has 32 divisors (see below), whose sum is σ = 1057778400. Its totient is φ = 126933264.

The previous prime is 380799953. The next prime is 380800009. The reversal of 380800008 is 800008083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (380800009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881266 + ... + 881697.

It is an arithmetic number, because the mean of its divisors is an integer number (33055575).

Almost surely, 2380800008 is an apocalyptic number.

It is an amenable number.

380800008 is an abundant number, since it is smaller than the sum of its proper divisors (676978392).

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

380800008 is a wasteful number, since it uses less digits than its factorization.

380800008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762978 (or 1762968 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 380800008 is about 19514.0976732208. The cubic root of 380800008 is about 724.8235848209.

The spelling of 380800008 in words is "three hundred eighty million, eight hundred thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1762963 3525926 5288889 7051852 10577778 14103704 15866667 21155556 31733334 42311112 47600001 63466668 95200002 126933336 190400004 380800008