Base | Representation |
---|---|
bin | 10010101011000… |
… | …011001111001000 |
3 | 210211111000222020 |
4 | 102223003033020 |
5 | 1120144302321 |
6 | 51030324440 |
7 | 10522540113 |
oct | 2253031710 |
9 | 724430866 |
10 | 313275336 |
11 | 150921440 |
12 | 88ab9720 |
13 | 4cb9842a |
14 | 2d86b57a |
15 | 1c7824c6 |
hex | 12ac33c8 |
313275336 has 128 divisors (see below), whose sum is σ = 893030400. Its totient is φ = 90720000.
The previous prime is 313275323. The next prime is 313275373. The reversal of 313275336 is 633572313.
313275336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3132753362 = 196282872291825792, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 313275297 and 313275306.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826395 + ... + 826773.
It is an arithmetic number, because the mean of its divisors is an integer number (6976800).
Almost surely, 2313275336 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 313275336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446515200).
313275336 is an abundant number, since it is smaller than the sum of its proper divisors (579755064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313275336 is a wasteful number, since it uses less digits than its factorization.
313275336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 531 (or 527 counting only the distinct ones).
The product of its digits is 34020, while the sum is 33.
The square root of 313275336 is about 17699.5857578645. The cubic root of 313275336 is about 679.1651634947.
It can be divided in two parts, 31327 and 5336, that added together give a palindrome (36663).
The spelling of 313275336 in words is "three hundred thirteen million, two hundred seventy-five thousand, three hundred thirty-six".
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