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314133329 is a prime number
BaseRepresentation
bin10010101110010…
…100101101010001
3210220002121220202
4102232110231101
51120404231304
651100544545
710533042416
oct2256245521
9726077822
10314133329
11151358024
1289252155
1350108b13
142da1210d
151c8a181e
hex12b94b51

314133329 has 2 divisors, whose sum is σ = 314133330. Its totient is φ = 314133328.

The previous prime is 314133301. The next prime is 314133341. The reversal of 314133329 is 923331413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283585600 + 30547729 = 16840^2 + 5527^2 .

It is a cyclic number.

It is not a de Polignac number, because 314133329 - 28 = 314133073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (314133359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157066664 + 157066665.

It is an arithmetic number, because the mean of its divisors is an integer number (157066665).

Almost surely, 2314133329 is an apocalyptic number.

It is an amenable number.

314133329 is a deficient number, since it is larger than the sum of its proper divisors (1).

314133329 is an equidigital number, since it uses as much as digits as its factorization.

314133329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 29.

The square root of 314133329 is about 17723.8068427751. The cubic root of 314133329 is about 679.7846268623.

The spelling of 314133329 in words is "three hundred fourteen million, one hundred thirty-three thousand, three hundred twenty-nine".