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404400430 = 257416843
BaseRepresentation
bin11000000110101…
…010100100101110
31001011221200002201
4120012222210232
51312011303210
6104043412114
713010230000
oct3006524456
91034850081
10404400430
11198301035
12b352403a
1365a224c5
143b9cc370
152578253a
hex181aa92e

404400430 has 40 divisors (see below), whose sum is σ = 849240792. Its totient is φ = 138643344.

The previous prime is 404400419. The next prime is 404400433. The reversal of 404400430 is 34004404.

It is a junction number, because it is equal to n+sod(n) for n = 404400398 and 404400407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404400433) 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 19 ways as a sum of consecutive naturals, for example, 15589 + ... + 32431.

Almost surely, 2404400430 is an apocalyptic number.

404400430 is an abundant number, since it is smaller than the sum of its proper divisors (444840362).

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

404400430 is an equidigital number, since it uses as much as digits as its factorization.

404400430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 16857 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 404400430 is about 20109.7098437546. The cubic root of 404400430 is about 739.4983390753.

Adding to 404400430 its reverse (34004404), we get a palindrome (438404834).

The spelling of 404400430 in words is "four hundred four million, four hundred thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 2401 3430 4802 12005 16843 24010 33686 84215 117901 168430 235802 589505 825307 1179010 1650614 4126535 5777149 8253070 11554298 28885745 40440043 57771490 80880086 202200215 404400430