Base | Representation |
---|---|
bin | 10010101011010… |
… | …011100110001000 |
3 | 210211121102220000 |
4 | 102223103212020 |
5 | 1120203423334 |
6 | 51032003000 |
7 | 10523236350 |
oct | 2253234610 |
9 | 724542800 |
10 | 313342344 |
11 | 150967817 |
12 | 88b30460 |
13 | 4cbbca93 |
14 | 2d887b60 |
15 | 1c797299 |
hex | 12ad3988 |
313342344 has 160 divisors (see below), whose sum is σ = 1030687680. Its totient is φ = 87060096.
The previous prime is 313342343. The next prime is 313342387. The reversal of 313342344 is 443243313.
313342344 is a `hidden beast` number, since 313 + 3 + 4 + 2 + 344 = 666.
313342344 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 (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (313342343) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 166899 + ... + 168765.
It is an arithmetic number, because the mean of its divisors is an integer number (6441798).
Almost surely, 2313342344 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 313342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515343840).
313342344 is an abundant number, since it is smaller than the sum of its proper divisors (717345336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313342344 is a wasteful number, since it uses less digits than its factorization.
313342344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1929 (or 1916 counting only the distinct ones).
The product of its digits is 10368, while the sum is 27.
The square root of 313342344 is about 17701.4785823106. The cubic root of 313342344 is about 679.2135833665.
Adding to 313342344 its reverse (443243313), we get a palindrome (756585657).
The spelling of 313342344 in words is "three hundred thirteen million, three hundred forty-two thousand, three hundred forty-four".
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