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314413037 is a prime number
BaseRepresentation
bin10010101111011…
…000111111101101
3210220121211121022
4102233120333231
51120442204122
651110543525
710535316041
oct2257307755
9726554538
10314413037
11151529194
1289367ba5
13501a6223
142da86021
151c909642
hex12bd8fed

314413037 has 2 divisors, whose sum is σ = 314413038. Its totient is φ = 314413036.

The previous prime is 314413031. The next prime is 314413039. The reversal of 314413037 is 730314413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244171876 + 70241161 = 15626^2 + 8381^2 .

It is an emirp because it is prime and its reverse (730314413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314413037 - 28 = 314412781 is a prime.

Together with 314413039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314412997 and 314413015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314413031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157206518 + 157206519.

It is an arithmetic number, because the mean of its divisors is an integer number (157206519).

Almost surely, 2314413037 is an apocalyptic number.

It is an amenable number.

314413037 is a deficient number, since it is larger than the sum of its proper divisors (1).

314413037 is an equidigital number, since it uses as much as digits as its factorization.

314413037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 314413037 is about 17731.6958297846. The cubic root of 314413037 is about 679.9863297425.

The spelling of 314413037 in words is "three hundred fourteen million, four hundred thirteen thousand, thirty-seven".