| Base | Representation |
|---|---|
| bin | 10010101110111… |
| … | …010101000000000 |
| 3 | 210220101111222000 |
| 4 | 102232322220000 |
| 5 | 1120424214030 |
| 6 | 51104144000 |
| 7 | 10534260261 |
| oct | 2256725000 |
| 9 | 726344860 |
| 10 | 314288640 |
| 11 | 151453786 |
| 12 | 89308000 |
| 13 | 50161713 |
| 14 | 2da52968 |
| 15 | 1c8d2860 |
| hex | 12bbaa00 |
314288640 has 160 divisors (see below), whose sum is σ = 1116624960. Its totient is φ = 83791872.
The previous prime is 314288617. The next prime is 314288647. The reversal of 314288640 is 46882413.
314288640 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 8 + 8 + 640 = 666.
314288640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 314288595 and 314288604.
It is not an unprimeable number, because it can be changed into a prime (314288647) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66847 + ... + 71393.
It is an arithmetic number, because the mean of its divisors is an integer number (6978906).
Almost surely, 2314288640 is an apocalyptic number.
314288640 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 314288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558312480).
314288640 is an abundant number, since it is smaller than the sum of its proper divisors (802336320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314288640 is an equidigital number, since it uses as much as digits as its factorization.
314288640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4579 (or 4557 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 314288640 is about 17728.1877246378. The cubic root of 314288640 is about 679.8966394225.
The spelling of 314288640 in words is "three hundred fourteen million, two hundred eighty-eight thousand, six hundred forty".
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