Base | Representation |
---|---|
bin | 10110101100011… |
… | …101110001000000 |
3 | 222112110100200100 |
4 | 112230131301000 |
5 | 1234433130013 |
6 | 101440522400 |
7 | 12302235624 |
oct | 2654356100 |
9 | 875410610 |
10 | 380755008 |
11 | 185a20967 |
12 | a7620400 |
13 | 60b63a2a |
14 | 387d5184 |
15 | 23661473 |
hex | 16b1dc40 |
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".
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