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2001304400 = 24525003261
BaseRepresentation
bin111011101001001…
…0111101101010000
312011110210210112012
41313102113231100
513044313220100
6530330522052
7100410543464
oct16722275520
95143723465
102001304400
11937758687
1247a296328
1325b812cb4
1414db184a4
15baa6e135
hex77497b50

2001304400 has 30 divisors (see below), whose sum is σ = 4808134782. Its totient is φ = 800521600.

The previous prime is 2001304399. The next prime is 2001304411. The reversal of 2001304400 is 44031002.

It can be written as a sum of positive squares in 3 ways, for example, as 126067984 + 1875236416 = 11228^2 + 43304^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2501231 + ... + 2502030.

Almost surely, 22001304400 is an apocalyptic number.

2001304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001304400 is an abundant number, since it is smaller than the sum of its proper divisors (2806830382).

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

2001304400 is a wasteful number, since it uses less digits than its factorization.

2001304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003279 (or 5003268 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2001304400 is about 44735.9408082584. The cubic root of 2001304400 is about 1260.1948972053.

Adding to 2001304400 its reverse (44031002), we get a palindrome (2045335402).

The spelling of 2001304400 in words is "two billion, one million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5003261 10006522 20013044 25016305 40026088 50032610 80052176 100065220 125081525 200130440 250163050 400260880 500326100 1000652200 2001304400