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404431434 = 23311680861
BaseRepresentation
bin11000000110110…
…010001001001010
31001012000020122000
4120012302021022
51312013301214
6104044211430
713010416251
oct3006621112
91035006560
10404431434
11198322360
12b3539b76
1365a33654
143b9d9798
152578b809
hex181b224a

404431434 has 32 divisors (see below), whose sum is σ = 980441280. Its totient is φ = 122554800.

The previous prime is 404431429. The next prime is 404431441. The reversal of 404431434 is 434134404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404431398 and 404431407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339837 + ... + 341024.

It is an arithmetic number, because the mean of its divisors is an integer number (30638790).

Almost surely, 2404431434 is an apocalyptic number.

404431434 is an abundant number, since it is smaller than the sum of its proper divisors (576009846).

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

404431434 is a wasteful number, since it uses less digits than its factorization.

404431434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680883 (or 680877 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 404431434 is about 20110.4807003711. The cubic root of 404431434 is about 739.5172368631.

Adding to 404431434 its reverse (434134404), we get a palindrome (838565838).

The spelling of 404431434 in words is "four hundred four million, four hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 680861 1361722 2042583 4085166 6127749 7489471 12255498 14978942 18383247 22468413 36766494 44936826 67405239 134810478 202215717 404431434