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404745331 = 3123711383
BaseRepresentation
bin11000000111111…
…110110001110011
31001012121012012211
4120013332301303
51312103322311
6104055032551
713013164354
oct3007766163
91035535184
10404745331
11198517181
12b366b757
1365b134a3
143ba7bd2b
15257ee821
hex181fec73

404745331 has 12 divisors (see below), whose sum is σ = 429563856. Its totient is φ = 381069360.

The previous prime is 404745323. The next prime is 404745337. The reversal of 404745331 is 133547404.

It is not a de Polignac number, because 404745331 - 23 = 404745323 is a prime.

It is a super-2 number, since 2×4047453312 = 327637565932599122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404745293 and 404745302.

It is not an unprimeable number, because it can be changed into a prime (404745337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29866 + ... + 41248.

It is an arithmetic number, because the mean of its divisors is an integer number (35796988).

Almost surely, 2404745331 is an apocalyptic number.

404745331 is a deficient number, since it is larger than the sum of its proper divisors (24818525).

404745331 is a wasteful number, since it uses less digits than its factorization.

404745331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 404745331 is about 20118.2835003387. The cubic root of 404745331 is about 739.7085113228.

The spelling of 404745331 in words is "four hundred four million, seven hundred forty-five thousand, three hundred thirty-one".

Divisors: 1 31 37 961 1147 11383 35557 352873 421171 10939063 13056301 404745331