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313682336 = 2511281013
BaseRepresentation
bin10010101100100…
…110100110100000
3210212020201021022
4102230212212200
51120300313321
651043145012
710526153522
oct2254464640
9725221238
10313682336
1115107a200
1289075168
134ccab766
142d935a12
151c812dab
hex12b269a0

313682336 has 36 divisors (see below), whose sum is σ = 678816306. Its totient is φ = 142581120.

The previous prime is 313682333. The next prime is 313682339. The reversal of 313682336 is 633286313.

It is an interprime number because it is at equal distance from previous prime (313682333) and next prime (313682339).

It can be written as a sum of positive squares in only one way, i.e., 311310736 + 2371600 = 17644^2 + 1540^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313682296 and 313682305.

It is not an unprimeable number, because it can be changed into a prime (313682333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36635 + ... + 44378.

Almost surely, 2313682336 is an apocalyptic number.

It is an amenable number.

313682336 is an abundant number, since it is smaller than the sum of its proper divisors (365133970).

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

313682336 is a wasteful number, since it uses less digits than its factorization.

313682336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81045 (or 81026 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 313682336 is about 17711.0794702073. The cubic root of 313682336 is about 679.4591547221.

The spelling of 313682336 in words is "three hundred thirteen million, six hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 81013 162026 324052 648104 891143 1296208 1782286 2592416 3564572 7129144 9802573 14258288 19605146 28516576 39210292 78420584 156841168 313682336