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313134741 = 347352957
BaseRepresentation
bin10010101010100…
…000111010010101
3210211012220010000
4102222200322111
51120130302431
651023321513
710521413163
oct2252407225
9724186100
10313134741
11150835847
1288a50299
134cb4943a
142d832233
151c7559e6
hex12aa0e95

313134741 has 20 divisors (see below), whose sum is σ = 474185932. Its totient is φ = 205892928.

The previous prime is 313134739. The next prime is 313134743. The reversal of 313134741 is 147431313.

313134741 is a `hidden beast` number, since 313 + 1 + 347 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (313134739) and next prime (313134743).

It can be written as a sum of positive squares in 2 ways, for example, as 66487716 + 246647025 = 8154^2 + 15705^2 .

It is not a de Polignac number, because 313134741 - 21 = 313134739 is a prime.

It is a super-2 number, since 2×3131347412 = 196106732042274162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313134743) 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 19 ways as a sum of consecutive naturals, for example, 20566 + ... + 32391.

Almost surely, 2313134741 is an apocalyptic number.

It is an amenable number.

313134741 is a deficient number, since it is larger than the sum of its proper divisors (161051191).

313134741 is an equidigital number, since it uses as much as digits as its factorization.

313134741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53042 (or 53033 counting only the distinct ones).

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

The square root of 313134741 is about 17695.6136090275. The cubic root of 313134741 is about 679.0635473301.

The spelling of 313134741 in words is "three hundred thirteen million, one hundred thirty-four thousand, seven hundred forty-one".

Divisors: 1 3 9 27 73 81 219 657 1971 5913 52957 158871 476613 1429839 3865861 4289517 11597583 34792749 104378247 313134741