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2012304000 = 27353753113
BaseRepresentation
bin111011111110001…
…0101001010000000
312012020111122010210
41313330111022000
513110122212000
6531402354120
7100603205340
oct16774251200
95166448123
102012304000
11942990863
12481abb940
13260b94835
1415137cd20
15bb9e3350
hex77f15280

2012304000 has 512 divisors, whose sum is σ = 7836341760. Its totient is φ = 447283200.

The previous prime is 2012303999. The next prime is 2012304001. The reversal of 2012304000 is 4032102.

2012304000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2012303999) and next prime (2012304001).

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 (2012304001) 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, 17807944 + ... + 17808056.

It is an arithmetic number, because the mean of its divisors is an integer number (15305355).

Almost surely, 22012304000 is an apocalyptic number.

2012304000 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 2012304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918170880).

2012304000 is an abundant number, since it is smaller than the sum of its proper divisors (5824037760).

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

2012304000 is a wasteful number, since it uses less digits than its factorization.

2012304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2012304000 is about 44858.7115285314. The cubic root of 2012304000 is about 1262.4994477663.

Adding to 2012304000 its reverse (4032102), we get a palindrome (2016336102).

The spelling of 2012304000 in words is "two billion, twelve million, three hundred four thousand".