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2004103424 = 288987961
BaseRepresentation
bin111011101110100…
…0011000100000000
312011200002000001202
41313131003010000
513101022302144
6530510520332
7100443412061
oct16735030400
95150060052
102004103424
1193929a624
1247b2060a8
1325c28301b
14150246568
15bae2364e
hex77743100

2004103424 has 36 divisors (see below), whose sum is σ = 4045372380. Its totient is φ = 990781440.

The previous prime is 2004103417. The next prime is 2004103427. The reversal of 2004103424 is 4243014002.

It can be written as a sum of positive squares in 2 ways, for example, as 144769024 + 1859334400 = 12032^2 + 43120^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2004103396 and 2004103405.

It is not an unprimeable number, because it can be changed into a prime (2004103427) 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 3 ways as a sum of consecutive naturals, for example, 21197 + ... + 66764.

It is an arithmetic number, because the mean of its divisors is an integer number (112371455).

Almost surely, 22004103424 is an apocalyptic number.

It is an amenable number.

2004103424 is an abundant number, since it is smaller than the sum of its proper divisors (2041268956).

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

2004103424 is an frugal number, since it uses more digits than its factorization.

2004103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88066 (or 88052 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2004103424 is about 44767.2137171837. The cubic root of 2004103424 is about 1260.7821263152.

Adding to 2004103424 its reverse (4243014002), we get a palindrome (6247117426).

The spelling of 2004103424 in words is "two billion, four million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 5696 11392 22784 87961 175922 351844 703688 1407376 2814752 5629504 7828529 11259008 15657058 22518016 31314116 62628232 125256464 250512928 501025856 1002051712 2004103424