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2309027040 = 2533517231367
BaseRepresentation
bin1000100110100000…
…1111010011100000
312221220211201122000
42021220033103200
514212102331130
61021042244000
7111135256155
oct21150172340
95856751560
102309027040
11a85427211
12545356600
132aa4b5bb8
1417c93c22c
15d7aa6260
hex89a0f4e0

2309027040 has 384 divisors, whose sum is σ = 8935557120. Its totient is φ = 553918464.

The previous prime is 2309026999. The next prime is 2309027047. The reversal of 2309027040 is 407209032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2309026995 and 2309027013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2309027047) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1688437 + ... + 1689803.

It is an arithmetic number, because the mean of its divisors is an integer number (23269680).

Almost surely, 22309027040 is an apocalyptic number.

2309027040 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 2309027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467778560).

2309027040 is an abundant number, since it is smaller than the sum of its proper divisors (6626530080).

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

2309027040 is a wasteful number, since it uses less digits than its factorization.

2309027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2309027040 is about 48052.3364676474. The cubic root of 2309027040 is about 1321.7307874463.

The spelling of 2309027040 in words is "two billion, three hundred nine million, twenty-seven thousand, forty".