Search a number
-
+
313344401 is a prime number
BaseRepresentation
bin10010101011010…
…100000110010001
3210211121112201012
4102223110012101
51120204010101
651032020305
710523245346
oct2253240621
9724545635
10313344401
11150969317
1288b31695
134cbc09b6
142d8887cd
151c797bbb
hex12ad4191

313344401 has 2 divisors, whose sum is σ = 313344402. Its totient is φ = 313344400.

The previous prime is 313344359. The next prime is 313344403. The reversal of 313344401 is 104443313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310605376 + 2739025 = 17624^2 + 1655^2 .

It is a cyclic number.

It is not a de Polignac number, because 313344401 - 26 = 313344337 is a prime.

Together with 313344403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313344403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156672200 + 156672201.

It is an arithmetic number, because the mean of its divisors is an integer number (156672201).

Almost surely, 2313344401 is an apocalyptic number.

It is an amenable number.

313344401 is a deficient number, since it is larger than the sum of its proper divisors (1).

313344401 is an equidigital number, since it uses as much as digits as its factorization.

313344401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 313344401 is about 17701.5366847062. The cubic root of 313344401 is about 679.2150696422.

Adding to 313344401 its reverse (104443313), we get a palindrome (417787714).

The spelling of 313344401 in words is "three hundred thirteen million, three hundred forty-four thousand, four hundred one".