| Base | Representation |
|---|---|
| bin | 10010101010111… |
| … | …111010000100000 |
| 3 | 210211110012121200 |
| 4 | 102222333100200 |
| 5 | 1120143242130 |
| 6 | 51030121200 |
| 7 | 10522441443 |
| oct | 2252772040 |
| 9 | 724405550 |
| 10 | 313259040 |
| 11 | 150910176 |
| 12 | 88ab0200 |
| 13 | 4cb90ba3 |
| 14 | 2d86565a |
| 15 | 1c77c760 |
| hex | 12abf420 |
313259040 has 144 divisors (see below), whose sum is σ = 1075104576. Its totient is φ = 83059200.
The previous prime is 313259003. The next prime is 313259041. The reversal of 313259040 is 40952313.
313259040 is a `hidden beast` number, since 3 + 1 + 32 + 590 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×3132590402 = 196262452283443200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 313258995 and 313259013.
It is not an unprimeable number, because it can be changed into a prime (313259041) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 303325 + ... + 304355.
It is an arithmetic number, because the mean of its divisors is an integer number (7466004).
Almost surely, 2313259040 is an apocalyptic number.
313259040 is a gapful number since it is divisible by the number (30) 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 313259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537552288).
313259040 is an abundant number, since it is smaller than the sum of its proper divisors (761845536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313259040 is a wasteful number, since it uses less digits than its factorization.
313259040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1263 (or 1252 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 27.
The square root of 313259040 is about 17699.1254021209. The cubic root of 313259040 is about 679.1533869878.
The spelling of 313259040 in words is "three hundred thirteen million, two hundred fifty-nine thousand, forty".
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