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404332240 = 24513388781
BaseRepresentation
bin11000000110011…
…001111011010000
31001011211012120011
4120012121323100
51312002112430
6104042124304
713006524124
oct3006317320
91034735504
10404332240
11198264884
12b34b0694
13659ca460
143b9b1584
152576c22a
hex18199ed0

404332240 has 40 divisors (see below), whose sum is σ = 1012388328. Its totient is φ = 149291520.

The previous prime is 404332183. The next prime is 404332241. The reversal of 404332240 is 42233404.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 404331664 = 24^2 + 20108^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404332241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 193351 + ... + 195430.

Almost surely, 2404332240 is an apocalyptic number.

404332240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404332240 is an abundant number, since it is smaller than the sum of its proper divisors (608056088).

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

404332240 is a wasteful number, since it uses less digits than its factorization.

404332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388807 (or 388801 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 404332240 is about 20108.0143226525. The cubic root of 404332240 is about 739.4567720025.

Adding to 404332240 its reverse (42233404), we get a palindrome (446565644).

The spelling of 404332240 in words is "four hundred four million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 388781 777562 1555124 1943905 3110248 3887810 5054153 6220496 7775620 10108306 15551240 20216612 25270765 31102480 40433224 50541530 80866448 101083060 202166120 404332240