| Base | Representation |
|---|---|
| bin | 10010101000101… |
| … | …001011011000000 |
| 3 | 210210022000202000 |
| 4 | 102220221123000 |
| 5 | 1120014122222 |
| 6 | 51005024000 |
| 7 | 10514304240 |
| oct | 2250513300 |
| 9 | 723260660 |
| 10 | 312645312 |
| 11 | 150531061 |
| 12 | 88855000 |
| 13 | 4ca07735 |
| 14 | 2d745b20 |
| 15 | 1c6aa9ac |
| hex | 12a296c0 |
312645312 has 112 divisors (see below), whose sum is σ = 1050462720. Its totient is φ = 89323776.
The previous prime is 312645293. The next prime is 312645329. The reversal of 312645312 is 213546213.
312645312 is a `hidden beast` number, since 3 + 1 + 2 + 645 + 3 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×3126453122 = 195494182231154688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 12.
It is a zygodrome in base 12.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828 + ... + 25019.
Almost surely, 2312645312 is an apocalyptic number.
312645312 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 312645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525231360).
312645312 is an abundant number, since it is smaller than the sum of its proper divisors (737817408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312645312 is a wasteful number, since it uses less digits than its factorization.
312645312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25875 (or 25859 counting only the distinct ones).
The product of its digits is 4320, while the sum is 27.
The square root of 312645312 is about 17681.7790960073. The cubic root of 312645312 is about 678.7095711703.
Subtracting from 312645312 its reverse (213546213), we obtain a palindrome (99099099).
The spelling of 312645312 in words is "three hundred twelve million, six hundred forty-five thousand, three hundred twelve".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.067 sec. • engine limits •