Search a number
-
+
344402561 is a prime number
BaseRepresentation
bin10100100001110…
…010101010000001
3220000001110111102
4110201302222001
51201131340221
654101424145
711351242046
oct2441625201
9800043442
10344402561
11167451818
129740b055
13564764c9
1433a511cd
152038030b
hex14872a81

344402561 has 2 divisors, whose sum is σ = 344402562. Its totient is φ = 344402560.

The previous prime is 344402503. The next prime is 344402563. The reversal of 344402561 is 165204443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280897600 + 63504961 = 16760^2 + 7969^2 .

It is an emirp because it is prime and its reverse (165204443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 344402561 - 214 = 344386177 is a prime.

It is a super-2 number, since 2×3444025612 = 237226248046717442, which contains 22 as substring.

Together with 344402563, 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 (344402563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172201280 + 172201281.

It is an arithmetic number, because the mean of its divisors is an integer number (172201281).

Almost surely, 2344402561 is an apocalyptic number.

It is an amenable number.

344402561 is a deficient number, since it is larger than the sum of its proper divisors (1).

344402561 is an equidigital number, since it uses as much as digits as its factorization.

344402561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 344402561 is about 18558.0861351595. The cubic root of 344402561 is about 700.9528255742.

The spelling of 344402561 in words is "three hundred forty-four million, four hundred two thousand, five hundred sixty-one".