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2300704680 = 2335193143757
BaseRepresentation
bin1000100100100001…
…1111011110101000
312221100011220111110
42021020133132220
514202440022210
61020144030320
7111004444551
oct21110373650
95840156443
102300704680
11a8076252a
125426023a0
132a8860b21
1417b7b3328
15d6eb0420
hex8921f7a8

2300704680 has 256 divisors, whose sum is σ = 7684300800. Its totient is φ = 548674560.

The previous prime is 2300704607. The next prime is 2300704687. The reversal of 2300704680 is 864070032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2300704687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3038862 + ... + 3039618.

It is an arithmetic number, because the mean of its divisors is an integer number (30016800).

Almost surely, 22300704680 is an apocalyptic number.

2300704680 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 2300704680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842150400).

2300704680 is an abundant number, since it is smaller than the sum of its proper divisors (5383596120).

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

2300704680 is a wasteful number, since it uses less digits than its factorization.

2300704680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2300704680 is about 47965.6614673456. The cubic root of 2300704680 is about 1320.1409170036.

The spelling of 2300704680 in words is "two billion, three hundred million, seven hundred four thousand, six hundred eighty".