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2384080040 = 23559602001
BaseRepresentation
bin1000111000011010…
…0010110010101000
320011011001210222202
42032012202302220
514340311030130
61032323035332
7113036226446
oct21606426250
96134053882
102384080040
111013829691
1256650bb48
132bcc03664
141888b7b96
15de47e145
hex8e1a2ca8

2384080040 has 16 divisors (see below), whose sum is σ = 5364180180. Its totient is φ = 953632000.

The previous prime is 2384080037. The next prime is 2384080067. The reversal of 2384080040 is 400804832.

It can be written as a sum of positive squares in 2 ways, for example, as 2371105636 + 12974404 = 48694^2 + 3602^2 .

It is a super-4 number, since 4×23840800404 (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2384079985 and 2384080012.

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 3 ways as a sum of consecutive naturals, for example, 29800961 + ... + 29801040.

Almost surely, 22384080040 is an apocalyptic number.

2384080040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2384080040 is an abundant number, since it is smaller than the sum of its proper divisors (2980100140).

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

2384080040 is a wasteful number, since it uses less digits than its factorization.

2384080040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59602012 (or 59602008 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2384080040 is about 48827.0420975918. The cubic root of 2384080040 is about 1335.8989564061.

Adding to 2384080040 its reverse (400804832), we get a palindrome (2784884872).

The spelling of 2384080040 in words is "two billion, three hundred eighty-four million, eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59602001 119204002 238408004 298010005 476816008 596020010 1192040020 2384080040