| Base | Representation |
|---|---|
| bin | 10010101001111… |
| … | …100001001010000 |
| 3 | 210210221020112100 |
| 4 | 102221330021100 |
| 5 | 1120110443034 |
| 6 | 51020200400 |
| 7 | 10520215134 |
| oct | 2251741120 |
| 9 | 723836470 |
| 10 | 312984144 |
| 11 | 150742690 |
| 12 | 88999100 |
| 13 | 4cac5a25 |
| 14 | 2d7d33c4 |
| 15 | 1c726099 |
| hex | 12a7c250 |
312984144 has 240 divisors, whose sum is σ = 1034130240. Its totient is φ = 87306240.
The previous prime is 312984121. The next prime is 312984149. The reversal of 312984144 is 441489213.
It is a happy number.
312984144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 312984099 and 312984108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (312984149) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1588654 + ... + 1588850.
It is an arithmetic number, because the mean of its divisors is an integer number (4308876).
Almost surely, 2312984144 is an apocalyptic number.
312984144 is a gapful number since it is divisible by the number (34) 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 312984144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517065120).
312984144 is an abundant number, since it is smaller than the sum of its proper divisors (721146096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312984144 is a wasteful number, since it uses less digits than its factorization.
312984144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 298 (or 289 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 312984144 is about 17691.3578902243. The cubic root of 312984144 is about 678.9546683947.
The spelling of 312984144 in words is "three hundred twelve million, nine hundred eighty-four thousand, one hundred forty-four".
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