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312414293 is a prime number
BaseRepresentation
bin10010100111110…
…001000001010101
3210202212021211202
4102213301001111
51114434224133
651000042245
710512322562
oct2247610125
9722767752
10312414293
11150393534
1288763385
134c956539
142d6c5869
151c6622e8
hex129f1055

312414293 has 2 divisors, whose sum is σ = 312414294. Its totient is φ = 312414292.

The previous prime is 312414251. The next prime is 312414317. The reversal of 312414293 is 392414213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310570129 + 1844164 = 17623^2 + 1358^2 .

It is a cyclic number.

It is not a de Polignac number, because 312414293 - 218 = 312152149 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312414203) 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 as a sum of consecutive naturals, namely, 156207146 + 156207147.

It is an arithmetic number, because the mean of its divisors is an integer number (156207147).

Almost surely, 2312414293 is an apocalyptic number.

It is an amenable number.

312414293 is a deficient number, since it is larger than the sum of its proper divisors (1).

312414293 is an equidigital number, since it uses as much as digits as its factorization.

312414293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 29.

The square root of 312414293 is about 17675.2452033911. The cubic root of 312414293 is about 678.5423599187.

The spelling of 312414293 in words is "three hundred twelve million, four hundred fourteen thousand, two hundred ninety-three".