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2394703872 = 211331131127
BaseRepresentation
bin1000111010111100…
…0100100000000000
320011220001120011000
42032233010200000
514401021010442
61033342452000
7113225434641
oct21657044000
96156046130
102394703872
111019825510
12569b94000
132c2183152
1418a0816c8
15e037bd4c
hex8ebc4800

2394703872 has 384 divisors, whose sum is σ = 8051097600. Its totient is φ = 696729600.

The previous prime is 2394703849. The next prime is 2394703873. The reversal of 2394703872 is 2783074932.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2394703873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18855873 + ... + 18855999.

It is an arithmetic number, because the mean of its divisors is an integer number (20966400).

Almost surely, 22394703872 is an apocalyptic number.

2394703872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2394703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025548800).

2394703872 is an abundant number, since it is smaller than the sum of its proper divisors (5656393728).

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

2394703872 is a wasteful number, since it uses less digits than its factorization.

2394703872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2394703872 is about 48935.7116224951. The cubic root of 2394703872 is about 1337.8803408042.

It can be divided in two parts, 239470 and 3872, that added together give a palindrome (243342).

The spelling of 2394703872 in words is "two billion, three hundred ninety-four million, seven hundred three thousand, eight hundred seventy-two".