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2300304000 = 27353172819
BaseRepresentation
bin1000100100011011…
…1101101010000000
312221022102112212110
42021012331222000
514202334212000
61020131255320
7111001155441
oct21106755200
95838375773
102300304000
11a80509495
1254244a540
132a8750637
1417b70b2c8
15d6e31850
hex891bda80

2300304000 has 256 divisors, whose sum is σ = 8076931200. Its totient is φ = 577126400.

The previous prime is 2300303981. The next prime is 2300304001. The reversal of 2300304000 is 4030032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300304001) 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 31 ways as a sum of consecutive naturals, for example, 814591 + ... + 817409.

Almost surely, 22300304000 is an apocalyptic number.

2300304000 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 2300304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038465600).

2300304000 is an abundant number, since it is smaller than the sum of its proper divisors (5776627200).

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

2300304000 is a wasteful number, since it uses less digits than its factorization.

2300304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2300304000 is about 47961.4845474992. The cubic root of 2300304000 is about 1320.0642760253.

Adding to 2300304000 its reverse (4030032), we get a palindrome (2304334032).

The spelling of 2300304000 in words is "two billion, three hundred million, three hundred four thousand".