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2044534320 = 2432531139659
BaseRepresentation
bin111100111011101…
…0001111000110000
312021111011002211100
41321313101320300
513141400044240
6534513244400
7101444153313
oct17167217060
95244132740
102044534320
1195a0a4994
12490863700
1326776aa2a
1415576c97a
15be75ce30
hex79dd1e30

2044534320 has 240 divisors, whose sum is σ = 7149542400. Its totient is φ = 523031040.

The previous prime is 2044534319. The next prime is 2044534321. The reversal of 2044534320 is 234354402.

2044534320 is a `hidden beast` number, since 204 + 453 + 4 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2044534319) and next prime (2044534321).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2044534321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3102151 + ... + 3102809.

It is an arithmetic number, because the mean of its divisors is an integer number (29789760).

Almost surely, 22044534320 is an apocalyptic number.

2044534320 is a gapful number since it is divisible by the number (20) 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 2044534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574771200).

2044534320 is an abundant number, since it is smaller than the sum of its proper divisors (5105008080).

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

2044534320 is a wasteful number, since it uses less digits than its factorization.

2044534320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2044534320 is about 45216.5270669918. The cubic root of 2044534320 is about 1269.2041058692.

Adding to 2044534320 its reverse (234354402), we get a palindrome (2278888722).

The spelling of 2044534320 in words is "two billion, forty-four million, five hundred thirty-four thousand, three hundred twenty".