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404443974 = 231117715077
BaseRepresentation
bin11000000110110…
…101001101000110
31001012000212211110
4120012311031012
51312014201344
6104044345450
713010500644
oct3006651506
91035025743
10404443974
11198330820
12b3545286
1365a3927c
143ba00194
15257903b9
hex181b5346

404443974 has 64 divisors (see below), whose sum is σ = 947676672. Its totient is φ = 113702400.

The previous prime is 404443973. The next prime is 404443981. The reversal of 404443974 is 479344404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404443973) 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 in 31 ways as a sum of consecutive naturals, for example, 77124 + ... + 82200.

It is an arithmetic number, because the mean of its divisors is an integer number (14807448).

Almost surely, 2404443974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404443974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473838336).

404443974 is an abundant number, since it is smaller than the sum of its proper divisors (543232698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404443974 is a wasteful number, since it uses less digits than its factorization.

404443974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181.

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 404443974 is about 20110.7924756833. The cubic root of 404443974 is about 739.5248800626.

The spelling of 404443974 in words is "four hundred four million, four hundred forty-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 71 102 142 187 213 374 426 561 781 1122 1207 1562 2343 2414 3621 4686 5077 7242 10154 13277 15231 26554 30462 39831 55847 79662 86309 111694 167541 172618 258927 335082 360467 517854 720934 949399 1081401 1898798 2162802 2848197 3965137 5696394 6127939 7930274 11895411 12255878 18383817 23790822 36767634 67407329 134814658 202221987 404443974