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390400404 = 223591393967
BaseRepresentation
bin10111010001010…
…000100110010100
31000012121101200020
4113101100212110
51244420303104
6102423345140
712450230412
oct2721204624
91005541606
10390400404
11190409669
12aa8b21b0
1362b60074
1439bc62b2
15244192d9
hex17450994

390400404 has 48 divisors (see below), whose sum is σ = 933273600. Its totient is φ = 126975456.

The previous prime is 390400403. The next prime is 390400421. The reversal of 390400404 is 404004093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390400403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96429 + ... + 100395.

It is an arithmetic number, because the mean of its divisors is an integer number (19443200).

Almost surely, 2390400404 is an apocalyptic number.

It is an amenable number.

390400404 is an abundant number, since it is smaller than the sum of its proper divisors (542873196).

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

390400404 is a wasteful number, since it uses less digits than its factorization.

390400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 390400404 is about 19758.5526797891. The cubic root of 390400404 is about 730.8643068535.

Adding to 390400404 its reverse (404004093), we get a palindrome (794404497).

The spelling of 390400404 in words is "three hundred ninety million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 12 59 118 139 177 236 278 354 417 556 708 834 1668 3967 7934 8201 11901 15868 16402 23802 24603 32804 47604 49206 98412 234053 468106 551413 702159 936212 1102826 1404318 1654239 2205652 2808636 3308478 6616956 32533367 65066734 97600101 130133468 195200202 390400404