Base | Representation |
---|---|
bin | 10010101000000… |
… | …011100000010000 |
3 | 210210000010200201 |
4 | 102220003200100 |
5 | 1114444140000 |
6 | 51001424544 |
7 | 10513056364 |
oct | 2250034020 |
9 | 723003621 |
10 | 312490000 |
11 | 1504353a9 |
12 | 8879b154 |
13 | 4c981b34 |
14 | 2d7052a4 |
15 | 1c67996a |
hex | 12a03810 |
312490000 has 50 divisors (see below), whose sum is σ = 756593750. Its totient is φ = 124992000.
The previous prime is 312489973. The next prime is 312490021. The reversal of 312490000 is 94213.
It can be written as a sum of positive squares in 5 ways, for example, as 99680256 + 212809744 = 9984^2 + 14588^2 .
It is a tau number, because it is divible by the number of its divisors (50).
It is a self number, because there is not a number n which added to its sum of digits gives 312490000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5625 + ... + 25624.
It is an arithmetic number, because the mean of its divisors is an integer number (15131875).
Almost surely, 2312490000 is an apocalyptic number.
It is an amenable number.
312490000 is an abundant number, since it is smaller than the sum of its proper divisors (444103750).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312490000 is an equidigital number, since it uses as much as digits as its factorization.
312490000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31277 (or 31256 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
The square root of 312490000 is about 17677.3866846884. The cubic root of 312490000 is about 678.5971656245.
The spelling of 312490000 in words is "three hundred twelve million, four hundred ninety thousand".
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