Search a number
-
+
314310809 is a prime number
BaseRepresentation
bin10010101111000…
…000000010011001
3210220102122101002
4102233000002121
51120430421214
651104434345
710534412021
oct2257000231
9726378332
10314310809
111514693aa
12893189b5
135016b837
142da5aa81
151c8d91de
hex12bc0099

314310809 has 2 divisors, whose sum is σ = 314310810. Its totient is φ = 314310808.

The previous prime is 314310727. The next prime is 314310827. The reversal of 314310809 is 908013413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214710409 + 99600400 = 14653^2 + 9980^2 .

It is a cyclic number.

It is not a de Polignac number, because 314310809 - 216 = 314245273 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (314310859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157155404 + 157155405.

It is an arithmetic number, because the mean of its divisors is an integer number (157155405).

Almost surely, 2314310809 is an apocalyptic number.

It is an amenable number.

314310809 is a deficient number, since it is larger than the sum of its proper divisors (1).

314310809 is an equidigital number, since it uses as much as digits as its factorization.

314310809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 314310809 is about 17728.8129608274. The cubic root of 314310809 is about 679.9126250191.

The spelling of 314310809 in words is "three hundred fourteen million, three hundred ten thousand, eight hundred nine".