Search a number
-
+
314432329 is a prime number
BaseRepresentation
bin10010101111011…
…101101101001001
3210220122211001211
4102233131231021
51120443313304
651111213121
710535426221
oct2257355511
9726584054
10314432329
11151541732
12893771a1
13501b1c43
142da8d081
151c910204
hex12bddb49

314432329 has 2 divisors, whose sum is σ = 314432330. Its totient is φ = 314432328.

The previous prime is 314432309. The next prime is 314432341. The reversal of 314432329 is 923234413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311593104 + 2839225 = 17652^2 + 1685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314432329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314432329.

It is not a weakly prime, because it can be changed into another prime (314432309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157216164 + 157216165.

It is an arithmetic number, because the mean of its divisors is an integer number (157216165).

Almost surely, 2314432329 is an apocalyptic number.

It is an amenable number.

314432329 is a deficient number, since it is larger than the sum of its proper divisors (1).

314432329 is an equidigital number, since it uses as much as digits as its factorization.

314432329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 31.

The square root of 314432329 is about 17732.2398190415. The cubic root of 314432329 is about 680.0002371683. Note that the first 3 decimals are identical.

The spelling of 314432329 in words is "three hundred fourteen million, four hundred thirty-two thousand, three hundred twenty-nine".