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2004031134 = 232767323633
BaseRepresentation
bin111011101110011…
…0001011010011110
312011122221022220100
41313130301122132
513101012444014
6530505201530
7100442661240
oct16734613236
95148838810
102004031134
11939250286
1247b1902a6
1325c259151
14150228090
15bae0c009
hex7773169e

2004031134 has 48 divisors (see below), whose sum is σ = 4969946592. Its totient is φ = 571705344.

The previous prime is 2004031121. The next prime is 2004031151. The reversal of 2004031134 is 4311304002.

It is a super-2 number, since 2×20040311342 = 8032281572082651912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72982 + ... + 96614.

It is an arithmetic number, because the mean of its divisors is an integer number (103540554).

Almost surely, 22004031134 is an apocalyptic number.

2004031134 is an abundant number, since it is smaller than the sum of its proper divisors (2965915458).

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

2004031134 is a wasteful number, since it uses less digits than its factorization.

2004031134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24321 (or 24318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2004031134 is about 44766.4063109828. The cubic root of 2004031134 is about 1260.7669669120.

Adding to 2004031134 its reverse (4311304002), we get a palindrome (6315335136).

The spelling of 2004031134 in words is "two billion, four million, thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 673 1346 2019 4038 4711 6057 9422 12114 14133 23633 28266 42399 47266 70899 84798 141798 165431 212697 330862 425394 496293 992586 1488879 2977758 15905009 31810018 47715027 95430054 111335063 143145081 222670126 286290162 334005189 668010378 1002015567 2004031134