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2400042324 = 2231609124303
BaseRepresentation
bin1000111100001101…
…1011110101010100
320012021002210010110
42033003123311110
514403402323244
61034053123020
7113322010641
oct21703336524
96167083113
102400042324
111021841359
1256b929470
132c3301cb4
1418aa70dc8
15e0a839b9
hex8f0dbd54

2400042324 has 24 divisors (see below), whose sum is σ = 5603624320. Its totient is φ = 799510464.

The previous prime is 2400042319. The next prime is 2400042331. The reversal of 2400042324 is 4232400042.

It is a super-4 number, since 4×24000423244 (a number of 39 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2400042324.

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 7 ways as a sum of consecutive naturals, for example, 42844 + ... + 81459.

Almost surely, 22400042324 is an apocalyptic number.

It is an amenable number.

2400042324 is an abundant number, since it is smaller than the sum of its proper divisors (3203581996).

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

2400042324 is a wasteful number, since it uses less digits than its factorization.

2400042324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125919 (or 125917 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2400042324 is about 48990.2268212753. The cubic root of 2400042324 is about 1338.8737704181.

Adding to 2400042324 its reverse (4232400042), we get a palindrome (6632442366).

The spelling of 2400042324 in words is "two billion, four hundred million, forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 1609 3218 4827 6436 9654 19308 124303 248606 372909 497212 745818 1491636 200003527 400007054 600010581 800014108 1200021162 2400042324