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404431144 = 23133888761
BaseRepresentation
bin11000000110110…
…010000100101000
31001012000020020021
4120012302010220
51312013244034
6104044210224
713010415355
oct3006620450
91035006207
10404431144
11198322117
12b3539974
1365a33490
143b9d962c
152578b6b4
hex181b2128

404431144 has 16 divisors (see below), whose sum is σ = 816640020. Its totient is φ = 186660480.

The previous prime is 404431141. The next prime is 404431171. The reversal of 404431144 is 441134404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 404412100 + 19044 = 20110^2 + 138^2 .

It is not an unprimeable number, because it can be changed into a prime (404431141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1944277 + ... + 1944484.

Almost surely, 2404431144 is an apocalyptic number.

It is an amenable number.

404431144 is an abundant number, since it is smaller than the sum of its proper divisors (412208876).

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

404431144 is a wasteful number, since it uses less digits than its factorization.

404431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888780 (or 3888776 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 404431144 is about 20110.4734901991. The cubic root of 404431144 is about 739.5170601047.

Adding to 404431144 its reverse (441134404), we get a palindrome (845565548).

The spelling of 404431144 in words is "four hundred four million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 3888761 7777522 15555044 31110088 50553893 101107786 202215572 404431144