| Base | Representation |
|---|---|
| bin | 10010101011100… |
| … | …001100110000000 |
| 3 | 210211201100112120 |
| 4 | 102223201212000 |
| 5 | 1120212242210 |
| 6 | 51033124240 |
| 7 | 10523565456 |
| oct | 2253414600 |
| 9 | 724640476 |
| 10 | 313399680 |
| 11 | 1509a6900 |
| 12 | 88b59680 |
| 13 | 4cc0cbc9 |
| 14 | 2d8a09d6 |
| 15 | 1c7a9270 |
| hex | 12ae1980 |
313399680 has 384 divisors, whose sum is σ = 1172102400. Its totient is φ = 70963200.
The previous prime is 313399673. The next prime is 313399687. The reversal of 313399680 is 86993313.
It is an interprime number because it is at equal distance from previous prime (313399673) and next prime (313399687).
It is a tau number, because it is divible by the number of its divisors (384).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (313399687) 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 47 ways as a sum of consecutive naturals, for example, 4414045 + ... + 4414115.
It is an arithmetic number, because the mean of its divisors is an integer number (3052350).
Almost surely, 2313399680 is an apocalyptic number.
313399680 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 313399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).
313399680 is an abundant number, since it is smaller than the sum of its proper divisors (858702720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313399680 is a wasteful number, since it uses less digits than its factorization.
313399680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 111 counting only the distinct ones).
The product of its (nonzero) digits is 104976, while the sum is 42.
The square root of 313399680 is about 17703.0980339600. The cubic root of 313399680 is about 679.2550087869.
It can be divided in two parts, 313 and 399680, that added together give a palindrome (399993).
The spelling of 313399680 in words is "three hundred thirteen million, three hundred ninety-nine thousand, six hundred eighty".
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