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2304267680 = 2551113261127
BaseRepresentation
bin1000100101011000…
…0101010110100000
312221120212221000102
42021112011112200
514204343031210
61020352241532
7111046644401
oct21126052640
95846787012
102304267680
11a82776460
125438402a8
132a950a800
1417c05d9a8
15d7465ea5
hex895855a0

2304267680 has 288 divisors, whose sum is σ = 6587578368. Its totient is φ = 754790400.

The previous prime is 2304267659. The next prime is 2304267683. The reversal of 2304267680 is 867624032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304267683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18143777 + ... + 18143903.

It is an arithmetic number, because the mean of its divisors is an integer number (22873536).

Almost surely, 22304267680 is an apocalyptic number.

2304267680 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 2304267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293789184).

2304267680 is an abundant number, since it is smaller than the sum of its proper divisors (4283310688).

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

2304267680 is a wasteful number, since it uses less digits than its factorization.

2304267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 2304267680 is about 48002.7882523505. The cubic root of 2304267680 is about 1320.8220468761.

The spelling of 2304267680 in words is "two billion, three hundred four million, two hundred sixty-seven thousand, six hundred eighty".