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311936641 = 532111049
BaseRepresentation
bin10010100101111…
…100011010000001
3210201222000121221
4102211330122001
51114323433031
650541515041
710505263162
oct2245743201
9721860557
10311936641
11150097685
1288572a81
134c819cc3
142d5dd769
151c5baa11
hex1297c681

311936641 has 6 divisors (see below), whose sum is σ = 317936150. Its totient is φ = 306048288.

The previous prime is 311936629. The next prime is 311936683. The reversal of 311936641 is 146639113.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 139145616 + 172791025 = 11796^2 + 13145^2 .

It is not a de Polignac number, because 311936641 - 217 = 311805569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311936597 and 311936606.

It is not an unprimeable number, because it can be changed into a prime (311936341) 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 5 ways as a sum of consecutive naturals, for example, 52716 + ... + 58333.

Almost surely, 2311936641 is an apocalyptic number.

It is an amenable number.

311936641 is a deficient number, since it is larger than the sum of its proper divisors (5999509).

311936641 is an equidigital number, since it uses as much as digits as its factorization.

311936641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111155 (or 111102 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 311936641 is about 17661.7281430782. The cubic root of 311936641 is about 678.1963744336.

The spelling of 311936641 in words is "three hundred eleven million, nine hundred thirty-six thousand, six hundred forty-one".

Divisors: 1 53 2809 111049 5885597 311936641