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404124361 is a prime number
BaseRepresentation
bin11000000101100…
…111001011001001
31001011102122101221
4120011213023021
51311423434421
6104033442041
713005000064
oct3005471311
91034378357
10404124361
11198132683
12b3410321
1365956954
143b9598db
152572a841
hex181672c9

404124361 has 2 divisors, whose sum is σ = 404124362. Its totient is φ = 404124360.

The previous prime is 404124359. The next prime is 404124431. The reversal of 404124361 is 163421404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399200400 + 4923961 = 19980^2 + 2219^2 .

It is a cyclic number.

It is not a de Polignac number, because 404124361 - 21 = 404124359 is a prime.

Together with 404124359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (404124761) 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, 202062180 + 202062181.

It is an arithmetic number, because the mean of its divisors is an integer number (202062181).

Almost surely, 2404124361 is an apocalyptic number.

It is an amenable number.

404124361 is a deficient number, since it is larger than the sum of its proper divisors (1).

404124361 is an equidigital number, since it uses as much as digits as its factorization.

404124361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 404124361 is about 20102.8445997078. The cubic root of 404124361 is about 739.3300248458.

Adding to 404124361 its reverse (163421404), we get a palindrome (567545765).

The spelling of 404124361 in words is "four hundred four million, one hundred twenty-four thousand, three hundred sixty-one".