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314466329 is a prime number
BaseRepresentation
bin10010101111100…
…110000000011001
3210220201112201002
4102233212000121
51121000410304
651112034345
710535630312
oct2257460031
9726645632
10314466329
11151565231
12893929b5
13501c4568
142da9b609
151c91a31e
hex12be6019

314466329 has 2 divisors, whose sum is σ = 314466330. Its totient is φ = 314466328.

The previous prime is 314466319. The next prime is 314466389. The reversal of 314466329 is 923664413.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160706329 + 153760000 = 12677^2 + 12400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314466329 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p16992830 and since 314466329 and 16992830 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 314466292 and 314466301.

It is not a weakly prime, because it can be changed into another prime (314466319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157233164 + 157233165.

It is an arithmetic number, because the mean of its divisors is an integer number (157233165).

Almost surely, 2314466329 is an apocalyptic number.

It is an amenable number.

314466329 is a deficient number, since it is larger than the sum of its proper divisors (1).

314466329 is an equidigital number, since it uses as much as digits as its factorization.

314466329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 38.

The square root of 314466329 is about 17733.1984988608. The cubic root of 314466329 is about 680.0247460718.

The spelling of 314466329 in words is "three hundred fourteen million, four hundred sixty-six thousand, three hundred twenty-nine".