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314312329 is a prime number
BaseRepresentation
bin10010101111000…
…000011010001001
3210220102201110101
4102233000122021
51120430443304
651104445401
710534416322
oct2257003211
9726381411
10314312329
1115146a561
1289319861
135016c436
142da5b449
151c8d98a4
hex12bc0689

314312329 has 2 divisors, whose sum is σ = 314312330. Its totient is φ = 314312328.

The previous prime is 314312287. The next prime is 314312333. The reversal of 314312329 is 923213413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 288830025 + 25482304 = 16995^2 + 5048^2 .

It is a cyclic number.

It is not a de Polignac number, because 314312329 - 211 = 314310281 is a prime.

It is a super-2 number, since 2×3143123292 = 197584480322808482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314312297 and 314312306.

It is not a weakly prime, because it can be changed into another prime (314312399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157156164 + 157156165.

It is an arithmetic number, because the mean of its divisors is an integer number (157156165).

Almost surely, 2314312329 is an apocalyptic number.

It is an amenable number.

314312329 is a deficient number, since it is larger than the sum of its proper divisors (1).

314312329 is an equidigital number, since it uses as much as digits as its factorization.

314312329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 28.

The square root of 314312329 is about 17728.8558288458. The cubic root of 314312329 is about 679.9137210314.

The spelling of 314312329 in words is "three hundred fourteen million, three hundred twelve thousand, three hundred twenty-nine".