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404631240 = 233513259379
BaseRepresentation
bin11000000111100…
…010111011001000
31001012101101201020
4120013202323020
51312041144430
6104052352440
713012210626
oct3007427310
91035341636
10404631240
11198449492
12b3615720
1365aa3590
143ba4c516
15257cab10
hex181e2ec8

404631240 has 64 divisors (see below), whose sum is σ = 1307275200. Its totient is φ = 99601152.

The previous prime is 404631211. The next prime is 404631301. The reversal of 404631240 is 42136404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404631240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128130 + ... + 131249.

It is an arithmetic number, because the mean of its divisors is an integer number (20426175).

Almost surely, 2404631240 is an apocalyptic number.

404631240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404631240 is an abundant number, since it is smaller than the sum of its proper divisors (902643960).

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

404631240 is a wasteful number, since it uses less digits than its factorization.

404631240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259406 (or 259402 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 404631240 is about 20115.4477951648. The cubic root of 404631240 is about 739.6390009349.

Adding to 404631240 its reverse (42136404), we get a palindrome (446767644).

The spelling of 404631240 in words is "four hundred four million, six hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 259379 518758 778137 1037516 1296895 1556274 2075032 2593790 3112548 3371927 3890685 5187580 6225096 6743854 7781370 10115781 10375160 13487708 15562740 16859635 20231562 26975416 31125480 33719270 40463124 50578905 67438540 80926248 101157810 134877080 202315620 404631240