| Base | Representation |
|---|---|
| bin | 10010101100101… |
| … | …010000100000000 |
| 3 | 210212021102201100 |
| 4 | 102230222010000 |
| 5 | 1120301242022 |
| 6 | 51043334400 |
| 7 | 10526243043 |
| oct | 2254520400 |
| 9 | 725242640 |
| 10 | 313696512 |
| 11 | 151089918 |
| 12 | 89081400 |
| 13 | 4ccb504c |
| 14 | 2d93ac5a |
| 15 | 1c8171ac |
| hex | 12b2a100 |
313696512 has 108 divisors (see below), whose sum is σ = 957787740. Its totient is φ = 98402304.
The previous prime is 313696511. The next prime is 313696547. The reversal of 313696512 is 215696313.
313696512 is a `hidden beast` number, since 3 + 136 + 9 + 6 + 512 = 666.
313696512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 224280576 + 89415936 = 14976^2 + 9456^2 .
It is a super-2 number, since 2×3136965122 = 196811003281932288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (313696511) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35164 + ... + 43172.
It is an arithmetic number, because the mean of its divisors is an integer number (8868405).
Almost surely, 2313696512 is an apocalyptic number.
313696512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 313696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478893870).
313696512 is an abundant number, since it is smaller than the sum of its proper divisors (644091228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313696512 is a wasteful number, since it uses less digits than its factorization.
313696512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8048 (or 8031 counting only the distinct ones).
The product of its digits is 29160, while the sum is 36.
The square root of 313696512 is about 17711.4796671537. The cubic root of 313696512 is about 679.4693899896.
The spelling of 313696512 in words is "three hundred thirteen million, six hundred ninety-six thousand, five hundred twelve".
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