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404040040 = 23543234907
BaseRepresentation
bin11000000101010…
…010100101101000
31001011021100201221
4120011102211220
51311413240130
6104031551424
713004166205
oct3005224550
91034240657
10404040040
11198085298
12b338b574
1365927461
143b936cac
152571087a
hex18152968

404040040 has 32 divisors (see below), whose sum is σ = 930235680. Its totient is φ = 157856832.

The previous prime is 404040029. The next prime is 404040047. The reversal of 404040040 is 40040404.

It is a junction number, because it is equal to n+sod(n) for n = 404039996 and 404040023.

It is not an unprimeable number, because it can be changed into a prime (404040047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 115734 + ... + 119173.

It is an arithmetic number, because the mean of its divisors is an integer number (29069865).

Almost surely, 2404040040 is an apocalyptic number.

404040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404040040 is an abundant number, since it is smaller than the sum of its proper divisors (526195640).

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

404040040 is a wasteful number, since it uses less digits than its factorization.

404040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234961 (or 234957 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 404040040 is about 20100.7472497915. The cubic root of 404040040 is about 739.2786005901.

Adding to 404040040 its reverse (40040404), we get a palindrome (444080444).

The spelling of 404040040 in words is "four hundred four million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 234907 469814 939628 1174535 1879256 2349070 4698140 9396280 10101001 20202002 40404004 50505005 80808008 101010010 202020020 404040040