| Base | Representation |
|---|---|
| bin | 10010101111000… |
| … | …001101010000000 |
| 3 | 210220102222110200 |
| 4 | 102233001222000 |
| 5 | 1120431124230 |
| 6 | 51104525200 |
| 7 | 10534440243 |
| oct | 2257015200 |
| 9 | 726388420 |
| 10 | 314317440 |
| 11 | 151473388 |
| 12 | 89320800 |
| 13 | 50171868 |
| 14 | 2da5d25a |
| 15 | 1c8db160 |
| hex | 12bc1a80 |
314317440 has 192 divisors, whose sum is σ = 1094825160. Its totient is φ = 83091456.
The previous prime is 314317433. The next prime is 314317447. The reversal of 314317440 is 44713413.
It is a Cunningham number, because it is equal to 177292-1.
It is an interprime number because it is at equal distance from previous prime (314317433) and next prime (314317447).
It can be written as a sum of positive squares in 4 ways, for example, as 283046976 + 31270464 = 16824^2 + 5592^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is not an unprimeable number, because it can be changed into a prime (314317447) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 1134582 + ... + 1134858.
Almost surely, 2314317440 is an apocalyptic number.
314317440 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 314317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547412580).
314317440 is an abundant number, since it is smaller than the sum of its proper divisors (780507720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314317440 is a wasteful number, since it uses less digits than its factorization.
314317440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 499 (or 484 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 314317440 is about 17728.9999717976. Note that the first 4 decimals coincide. The cubic root of 314317440 is about 679.9174063468.
The spelling of 314317440 in words is "three hundred fourteen million, three hundred seventeen thousand, four hundred forty".
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