| Base | Representation |
|---|---|
| bin | 10010101001110… |
| … | …110011010100000 |
| 3 | 210210220001100000 |
| 4 | 102221312122200 |
| 5 | 1120104220142 |
| 6 | 51015500000 |
| 7 | 10520056533 |
| oct | 2251663240 |
| 9 | 723801300 |
| 10 | 312960672 |
| 11 | 150726a92 |
| 12 | 88987600 |
| 13 | 4cab813b |
| 14 | 2d7c8a1a |
| 15 | 1c71e14c |
| hex | 12a766a0 |
312960672 has 144 divisors (see below), whose sum is σ = 932323392. Its totient is φ = 103265280.
The previous prime is 312960671. The next prime is 312960673. The reversal of 312960672 is 276069213.
It is an interprime number because it is at equal distance from previous prime (312960671) and next prime (312960673).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×3129606723 (a number of 26 digits) contains 333 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 (312960671) 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, 1298472 + ... + 1298712.
It is an arithmetic number, because the mean of its divisors is an integer number (6474468).
Almost surely, 2312960672 is an apocalyptic number.
312960672 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 312960672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466161696).
312960672 is an abundant number, since it is smaller than the sum of its proper divisors (619362720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312960672 is a wasteful number, since it uses less digits than its factorization.
312960672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 433 (or 413 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 312960672 is about 17690.6945030431. The cubic root of 312960672 is about 678.9376954131.
The spelling of 312960672 in words is "three hundred twelve million, nine hundred sixty thousand, six hundred seventy-two".
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