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404860240 = 24541123433
BaseRepresentation
bin11000001000011…
…010110101010000
31001012211000211201
4120020122311100
51312121011430
6104101320544
713014153361
oct3010326520
91035730751
10404860240
11198595544
12b3706154
1365b53895
143baabb68
15258238ca
hex1821ad50

404860240 has 40 divisors (see below), whose sum is σ = 964266408. Its totient is φ = 157992960.

The previous prime is 404860207. The next prime is 404860277. The reversal of 404860240 is 42068404.

It can be written as a sum of positive squares in 4 ways, for example, as 4700224 + 400160016 = 2168^2 + 20004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 404860199 and 404860208.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 58437 + ... + 64996.

Almost surely, 2404860240 is an apocalyptic number.

404860240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404860240 is an abundant number, since it is smaller than the sum of its proper divisors (559406168).

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

404860240 is a wasteful number, since it uses less digits than its factorization.

404860240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123487 (or 123481 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 404860240 is about 20121.1391327628. The cubic root of 404860240 is about 739.7785068782.

The spelling of 404860240 in words is "four hundred four million, eight hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 123433 246866 493732 617165 987464 1234330 1974928 2468660 4937320 5060753 9874640 10121506 20243012 25303765 40486024 50607530 80972048 101215060 202430120 404860240