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313456 = 241113137
BaseRepresentation
bin1001100100001110000
3120220222111
41030201300
540012311
610415104
72443603
oct1144160
9526874
10313456
111a4560
12131494
13ac8a0
148233a
1562d21
hex4c870

313456 has 40 divisors (see below), whose sum is σ = 718704. Its totient is φ = 130560.

The previous prime is 313409. The next prime is 313471. The reversal of 313456 is 654313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2220 + ... + 2356.

2313456 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 313456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359352).

313456 is an abundant number, since it is smaller than the sum of its proper divisors (405248).

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

313456 is a wasteful number, since it uses less digits than its factorization.

313456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 313456 is about 559.8714138086. The cubic root of 313456 is about 67.9295695226.

Adding to 313456 its reverse (654313), we get a palindrome (967769).

The spelling of 313456 in words is "three hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 137 143 176 208 274 286 548 572 1096 1144 1507 1781 2192 2288 3014 3562 6028 7124 12056 14248 19591 24112 28496 39182 78364 156728 313456