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313856 = 29613
BaseRepresentation
bin1001100101000000000
3120221112022
41030220000
540020411
610421012
72445014
oct1145000
9527468
10313856
111a4894
12131768
13acb1a
1482544
1562edb
hex4ca00

313856 has 20 divisors (see below), whose sum is σ = 628122. Its totient is φ = 156672.

The previous prime is 313853. The next prime is 313879. The reversal of 313856 is 658313.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 256 = 560^2 + 16^2 .

It is not an unprimeable number, because it can be changed into a prime (313853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206 + ... + 818.

2313856 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 313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314061).

313856 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

313856 is an frugal number, since it uses more digits than its factorization.

313856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 313856 is about 560.2285248004. The cubic root of 313856 is about 67.9584521281.

The spelling of 313856 in words is "three hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 613 1226 2452 4904 9808 19616 39232 78464 156928 313856