Search a number
-
+
313463329 is a prime number
BaseRepresentation
bin10010101011110…
…001001000100001
3210211211120211221
4102223301020201
51120221311304
651034335041
710524252154
oct2253611041
9724746757
10313463329
11150a3a703
1288b8a481
134cc32b7a
142d8b9c9b
151c7bd054
hex12af1221

313463329 has 2 divisors, whose sum is σ = 313463330. Its totient is φ = 313463328.

The previous prime is 313463309. The next prime is 313463333. The reversal of 313463329 is 923364313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273836304 + 39627025 = 16548^2 + 6295^2 .

It is a cyclic number.

It is not a de Polignac number, because 313463329 - 213 = 313455137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313463294 and 313463303.

It is not a weakly prime, because it can be changed into another prime (313463309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156731664 + 156731665.

It is an arithmetic number, because the mean of its divisors is an integer number (156731665).

Almost surely, 2313463329 is an apocalyptic number.

It is an amenable number.

313463329 is a deficient number, since it is larger than the sum of its proper divisors (1).

313463329 is an equidigital number, since it uses as much as digits as its factorization.

313463329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34992, while the sum is 34.

The square root of 313463329 is about 17704.8956223978. The cubic root of 313463329 is about 679.3009894503.

The spelling of 313463329 in words is "three hundred thirteen million, four hundred sixty-three thousand, three hundred twenty-nine".