Search a number
-
+
313463441 is a prime number
BaseRepresentation
bin10010101011110…
…001001010010001
3210211211121000002
4102223301022101
51120221312231
651034335345
710524252404
oct2253611221
9724747002
10313463441
11150a3a7a5
1288b8a555
134cc32c35
142d8b9d3b
151c7bd0cb
hex12af1291

313463441 has 2 divisors, whose sum is σ = 313463442. Its totient is φ = 313463440.

The previous prime is 313463419. The next prime is 313463443. The reversal of 313463441 is 144364313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298563841 + 14899600 = 17279^2 + 3860^2 .

It is an emirp because it is prime and its reverse (144364313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313463441 is a prime.

Together with 313463443, 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 (313463443) 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, 156731720 + 156731721.

It is an arithmetic number, because the mean of its divisors is an integer number (156731721).

Almost surely, 2313463441 is an apocalyptic number.

It is an amenable number.

313463441 is a deficient number, since it is larger than the sum of its proper divisors (1).

313463441 is an equidigital number, since it uses as much as digits as its factorization.

313463441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 29.

The square root of 313463441 is about 17704.8987853645. The cubic root of 313463441 is about 679.3010703547.

The spelling of 313463441 in words is "three hundred thirteen million, four hundred sixty-three thousand, four hundred forty-one".