Search a number
-
+
313401318 = 232910311747
BaseRepresentation
bin10010101011100…
…001111111100110
3210211201102210020
4102223201333212
51120212320233
651033140010
710523603316
oct2253417746
9724642706
10313401318
111509a805a
1288b5a606
134cc10889
142d8a1446
151c7a99b3
hex12ae1fe6

313401318 has 32 divisors (see below), whose sum is σ = 649416960. Its totient is φ = 100709280.

The previous prime is 313401317. The next prime is 313401323. The reversal of 313401318 is 813104313.

313401318 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 2×3134013182 = 196440772248274248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313401317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178521 + ... + 180267.

It is an arithmetic number, because the mean of its divisors is an integer number (20294280).

Almost surely, 2313401318 is an apocalyptic number.

313401318 is an abundant number, since it is smaller than the sum of its proper divisors (336015642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313401318 is a wasteful number, since it uses less digits than its factorization.

313401318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 313401318 is about 17703.1442969886. The cubic root of 313401318 is about 679.2561921722.

The spelling of 313401318 in words is "three hundred thirteen million, four hundred one thousand, three hundred eighteen".

Divisors: 1 2 3 6 29 58 87 174 1031 1747 2062 3093 3494 5241 6186 10482 29899 50663 59798 89697 101326 151989 179394 303978 1801157 3602314 5403471 10806942 52233553 104467106 156700659 313401318