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314333413 is a prime number
BaseRepresentation
bin10010101111000…
…101100011100101
3210220110210101021
4102233011203211
51120432132123
651105131141
710534534642
oct2257054345
9726423337
10314333413
11151484389
1289329ab1
1350178c04
142da64dc9
151c8e0c5d
hex12bc58e5

314333413 has 2 divisors, whose sum is σ = 314333414. Its totient is φ = 314333412.

The previous prime is 314333363. The next prime is 314333419.

It is a happy number.

314333413 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270865764 + 43467649 = 16458^2 + 6593^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314333413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314333419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157166706 + 157166707.

It is an arithmetic number, because the mean of its divisors is an integer number (157166707).

Almost surely, 2314333413 is an apocalyptic number.

It is an amenable number.

314333413 is a deficient number, since it is larger than the sum of its proper divisors (1).

314333413 is an equidigital number, since it uses as much as digits as its factorization.

314333413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 25.

The square root of 314333413 is about 17729.4504426956. The cubic root of 314333413 is about 679.9289235111.

The spelling of 314333413 in words is "three hundred fourteen million, three hundred thirty-three thousand, four hundred thirteen".