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404457349 is a prime number
BaseRepresentation
bin11000000110111…
…000011110000101
31001012001120011211
4120012320132011
51312020113344
6104044531421
713010554642
oct3006703605
91035046154
10404457349
1119833a87a
12b3550b71
1365a4239a
143ba04dc9
1525794334
hex181b8785

404457349 has 2 divisors, whose sum is σ = 404457350. Its totient is φ = 404457348.

The previous prime is 404457337. The next prime is 404457367. The reversal of 404457349 is 943754404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 352876225 + 51581124 = 18785^2 + 7182^2 .

It is a cyclic number.

It is not a de Polignac number, because 404457349 - 29 = 404456837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404457329) 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, 202228674 + 202228675.

It is an arithmetic number, because the mean of its divisors is an integer number (202228675).

Almost surely, 2404457349 is an apocalyptic number.

It is an amenable number.

404457349 is a deficient number, since it is larger than the sum of its proper divisors (1).

404457349 is an equidigital number, since it uses as much as digits as its factorization.

404457349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 404457349 is about 20111.1250058270. The cubic root of 404457349 is about 739.5330320250.

The spelling of 404457349 in words is "four hundred four million, four hundred fifty-seven thousand, three hundred forty-nine".