Search a number
-
+
314304797 is a prime number
BaseRepresentation
bin10010101110111…
…110100100011101
3210220102100010102
4102232332210131
51120430223142
651104350445
710534355342
oct2256764435
9726370112
10314304797
11151464934
1289315425
1350168b91
142da587c9
151c8d7532
hex12bbe91d

314304797 has 2 divisors, whose sum is σ = 314304798. Its totient is φ = 314304796.

The previous prime is 314304743. The next prime is 314304817. The reversal of 314304797 is 797403413.

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., 165611161 + 148693636 = 12869^2 + 12194^2 .

It is a cyclic number.

It is not a de Polignac number, because 314304797 - 214 = 314288413 is a prime.

It is a super-2 number, since 2×3143047972 = 197575010834422418, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314304797.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314364797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157152398 + 157152399.

It is an arithmetic number, because the mean of its divisors is an integer number (157152399).

Almost surely, 2314304797 is an apocalyptic number.

It is an amenable number.

314304797 is a deficient number, since it is larger than the sum of its proper divisors (1).

314304797 is an equidigital number, since it uses as much as digits as its factorization.

314304797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 314304797 is about 17728.6434055175. The cubic root of 314304797 is about 679.9082899675.

The spelling of 314304797 in words is "three hundred fourteen million, three hundred four thousand, seven hundred ninety-seven".