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312414209 is a prime number
BaseRepresentation
bin10010100111110…
…001000000000001
3210202212021201122
4102213301000001
51114434223314
651000042025
710512322412
oct2247610001
9722767648
10312414209
11150393468
1288763315
134c9564a3
142d6c5809
151c66228e
hex129f1001

312414209 has 2 divisors, whose sum is σ = 312414210. Its totient is φ = 312414208.

The previous prime is 312414203. The next prime is 312414227. The reversal of 312414209 is 902414213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247369984 + 65044225 = 15728^2 + 8065^2 .

It is a cyclic number.

It is not a de Polignac number, because 312414209 - 212 = 312410113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312414203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156207104 + 156207105.

It is an arithmetic number, because the mean of its divisors is an integer number (156207105).

Almost surely, 2312414209 is an apocalyptic number.

It is an amenable number.

312414209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312414209 is an equidigital number, since it uses as much as digits as its factorization.

312414209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 312414209 is about 17675.2428271863. The cubic root of 312414209 is about 678.5422991047.

The spelling of 312414209 in words is "three hundred twelve million, four hundred fourteen thousand, two hundred nine".