Search a number
-
+
313305512 = 231317177209
BaseRepresentation
bin10010101011001…
…010100110101000
3210211112120100212
4102223022212220
51120201234022
651031120252
710523024102
oct2253124650
9724476325
10313305512
11150942083
1288b13088
134cba90a0
142d878572
151c78b3e2
hex12aca9a8

313305512 has 32 divisors (see below), whose sum is σ = 669853800. Its totient is φ = 136095744.

The previous prime is 313305511. The next prime is 313305557. The reversal of 313305512 is 215503313.

It can be written as a sum of positive squares in 4 ways, for example, as 268763236 + 44542276 = 16394^2 + 6674^2 .

It is not an unprimeable number, because it can be changed into a prime (313305511) 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 7 ways as a sum of consecutive naturals, for example, 86837 + ... + 90372.

Almost surely, 2313305512 is an apocalyptic number.

It is an amenable number.

313305512 is an abundant number, since it is smaller than the sum of its proper divisors (356548288).

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

313305512 is a wasteful number, since it uses less digits than its factorization.

313305512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177245 (or 177241 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 313305512 is about 17700.4381866665. The cubic root of 313305512 is about 679.1869694777.

Adding to 313305512 its reverse (215503313), we get a palindrome (528808825).

The spelling of 313305512 in words is "three hundred thirteen million, three hundred five thousand, five hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 177209 354418 708836 1417672 2303717 3012553 4607434 6025106 9214868 12050212 18429736 24100424 39163189 78326378 156652756 313305512