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313260417 = 32109731729
BaseRepresentation
bin10010101010111…
…111100110000001
3210211110021111200
4102222333212001
51120143313132
651030131413
710522445451
oct2252774601
9724407450
10313260417
11150911208
1288ab0b69
134cb916c2
142d865d61
151c77cd7c
hex12abf981

313260417 has 12 divisors (see below), whose sum is σ = 452914020. Its totient is φ = 208643328.

The previous prime is 313260403. The next prime is 313260419. The reversal of 313260417 is 714062313.

It can be written as a sum of positive squares in 2 ways, for example, as 208484721 + 104775696 = 14439^2 + 10236^2 .

It is not a de Polignac number, because 313260417 - 24 = 313260401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313260419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5992 + ... + 25737.

It is an arithmetic number, because the mean of its divisors is an integer number (37742835).

Almost surely, 2313260417 is an apocalyptic number.

It is an amenable number.

313260417 is a deficient number, since it is larger than the sum of its proper divisors (139653603).

313260417 is a wasteful number, since it uses less digits than its factorization.

313260417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32832 (or 32829 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 313260417 is about 17699.1643023053. The cubic root of 313260417 is about 679.1543821098.

The spelling of 313260417 in words is "three hundred thirteen million, two hundred sixty thousand, four hundred seventeen".

Divisors: 1 3 9 1097 3291 9873 31729 95187 285561 34806713 104420139 313260417