Search a number
-
+
312414317 is a prime number
BaseRepresentation
bin10010100111110…
…001000001101101
3210202212021212122
4102213301001231
51114434224232
651000042325
710512322625
oct2247610155
9722767778
10312414317
11150393556
12887633a5
134c956557
142d6c5885
151c662312
hex129f106d

312414317 has 2 divisors, whose sum is σ = 312414318. Its totient is φ = 312414316.

The previous prime is 312414293. The next prime is 312414331. The reversal of 312414317 is 713414213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222278281 + 90136036 = 14909^2 + 9494^2 .

It is a cyclic number.

It is not a de Polignac number, because 312414317 - 28 = 312414061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312414517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156207158 + 156207159.

It is an arithmetic number, because the mean of its divisors is an integer number (156207159).

Almost surely, 2312414317 is an apocalyptic number.

It is an amenable number.

312414317 is a deficient number, since it is larger than the sum of its proper divisors (1).

312414317 is an equidigital number, since it uses as much as digits as its factorization.

312414317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 26.

The square root of 312414317 is about 17675.2458823067. The cubic root of 312414317 is about 678.5423772942.

The spelling of 312414317 in words is "three hundred twelve million, four hundred fourteen thousand, three hundred seventeen".