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404664317 is a prime number
BaseRepresentation
bin11000000111101…
…010111111111101
31001012110002002022
4120013222333331
51312043224232
6104053205525
713012406231
oct3007527775
91035402068
10404664317
11198471322
12b36308a5
1365ab5655
143ba5a5c1
15257d5812
hex181eaffd

404664317 has 2 divisors, whose sum is σ = 404664318. Its totient is φ = 404664316.

The previous prime is 404664283. The next prime is 404664329. The reversal of 404664317 is 713466404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331749796 + 72914521 = 18214^2 + 8539^2 .

It is a cyclic number.

It is not a de Polignac number, because 404664317 - 28 = 404664061 is a prime.

It is a Chen prime.

It is equal to p21571649 and since 404664317 and 21571649 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404664367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202332158 + 202332159.

It is an arithmetic number, because the mean of its divisors is an integer number (202332159).

Almost surely, 2404664317 is an apocalyptic number.

It is an amenable number.

404664317 is a deficient number, since it is larger than the sum of its proper divisors (1).

404664317 is an equidigital number, since it uses as much as digits as its factorization.

404664317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 404664317 is about 20116.2699574250. The cubic root of 404664317 is about 739.6591545713.

The spelling of 404664317 in words is "four hundred four million, six hundred sixty-four thousand, three hundred seventeen".