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380755008 = 26321733821
BaseRepresentation
bin10110101100011…
…101110001000000
3222112110100200100
4112230131301000
51234433130013
6101440522400
712302235624
oct2654356100
9875410610
10380755008
11185a20967
12a7620400
1360b63a2a
14387d5184
1523661473
hex16b1dc40

380755008 has 84 divisors (see below), whose sum is σ = 1097961228. Its totient is φ = 126151680.

The previous prime is 380754977. The next prime is 380755013. The reversal of 380755008 is 800557083.

It is a happy number.

380755008 is a `hidden beast` number, since 3 + 80 + 75 + 500 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 344176704 + 36578304 = 18552^2 + 6048^2 .

It is a super-2 number, since 2×3807550082 = 289948752234160128, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 97738 + ... + 101558.

It is an arithmetic number, because the mean of its divisors is an integer number (13070967).

Almost surely, 2380755008 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 380755008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548980614).

380755008 is an abundant number, since it is smaller than the sum of its proper divisors (717206220).

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

380755008 is a wasteful number, since it uses less digits than its factorization.

380755008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 380755008 is about 19512.9446265806. The cubic root of 380755008 is about 724.7950323476.

The spelling of 380755008 in words is "three hundred eighty million, seven hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1384 1557 2076 2768 3114 3821 4152 5536 6228 7642 8304 11072 11463 12456 15284 16608 22926 24912 30568 33216 34389 45852 49824 61136 68778 91704 99648 122272 137556 183408 244544 275112 366816 550224 661033 733632 1100448 1322066 1983099 2200896 2644132 3966198 5288264 5949297 7932396 10576528 11898594 15864792 21153056 23797188 31729584 42306112 47594376 63459168 95188752 126918336 190377504 380755008