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404324032 = 2672931121
BaseRepresentation
bin11000000110010…
…111111011000000
31001011210210022011
4120012113323000
51312001332112
6104042022304
713006461160
oct3006277300
91034723264
10404324032
111982596a2
12b34a7994
13659c67b8
143b9ac5a0
1525769aa7
hex18197ec0

404324032 has 56 divisors (see below), whose sum is σ = 948598560. Its totient is φ = 167301120.

The previous prime is 404324023. The next prime is 404324059. The reversal of 404324032 is 230423404.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 404323994 and 404324012.

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 7 ways as a sum of consecutive naturals, for example, 2569 + ... + 28552.

It is an arithmetic number, because the mean of its divisors is an integer number (16939260).

Almost surely, 2404324032 is an apocalyptic number.

It is an amenable number.

404324032 is an abundant number, since it is smaller than the sum of its proper divisors (544274528).

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

404324032 is a wasteful number, since it uses less digits than its factorization.

404324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31169 (or 31159 counting only the distinct ones).

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

The square root of 404324032 is about 20107.8102238906. The cubic root of 404324032 is about 739.4517682773.

Adding to 404324032 its reverse (230423404), we get a palindrome (634747436).

It can be divided in two parts, 40432 and 4032, that multiplied together give a square (163021824 = 127682).

The spelling of 404324032 in words is "four hundred four million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 31121 62242 124484 217847 248968 435694 497936 871388 902509 995872 1742776 1805018 1991744 3485552 3610036 6317563 6971104 7220072 12635126 13942208 14440144 25270252 28880288 50540504 57760576 101081008 202162016 404324032