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2302403040 = 253257239931
BaseRepresentation
bin1000100100111011…
…1110000111100000
312221110101012012200
42021032332013200
514203403344130
61020244253200
7111025050210
oct21116760740
95843335180
102302403040
11a81712533
125430a1200
132a9006b82
1417bad6240
15d71e8760
hex893be1e0

2302403040 has 288 divisors, whose sum is σ = 9370722816. Its totient is φ = 503331840.

The previous prime is 2302403039. The next prime is 2302403057. The reversal of 2302403040 is 403042032.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226875 + ... + 236805.

It is an arithmetic number, because the mean of its divisors is an integer number (32537232).

Almost surely, 22302403040 is an apocalyptic number.

2302403040 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 2302403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685361408).

2302403040 is an abundant number, since it is smaller than the sum of its proper divisors (7068319776).

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

2302403040 is a wasteful number, since it uses less digits than its factorization.

2302403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9982 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2302403040 is about 47983.3621164670. The cubic root of 2302403040 is about 1320.4656759177.

Adding to 2302403040 its reverse (403042032), we get a palindrome (2705445072).

The spelling of 2302403040 in words is "two billion, three hundred two million, four hundred three thousand, forty".