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313896 = 233112941
BaseRepresentation
bin1001100101000101000
3120221120210
41030220220
540021041
610421120
72445102
oct1145050
9527523
10313896
111a4920
121317a0
13acb4b
1482572
1563016
hex4ca28

313896 has 64 divisors (see below), whose sum is σ = 907200. Its totient is φ = 89600.

The previous prime is 313889. The next prime is 313897. The reversal of 313896 is 698313.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313896.

It is not an unprimeable number, because it can be changed into a prime (313897) by changing a digit.

313896 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 7636 + ... + 7676.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2313896 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 313896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

313896 is an abundant number, since it is smaller than the sum of its proper divisors (593304).

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

313896 is a wasteful number, since it uses less digits than its factorization.

313896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 313896 is about 560.2642233804. The cubic root of 313896 is about 67.9613390387.

The spelling of 313896 in words is "three hundred thirteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 41 44 58 66 82 87 88 116 123 132 164 174 232 246 264 319 328 348 451 492 638 696 902 957 984 1189 1276 1353 1804 1914 2378 2552 2706 3567 3608 3828 4756 5412 7134 7656 9512 10824 13079 14268 26158 28536 39237 52316 78474 104632 156948 313896