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2304012000 = 253531011901
BaseRepresentation
bin1000100101010100…
…0110111011100000
312221120101221021210
42021111012323200
514204311341000
61020342550120
7111044531103
oct21125067340
95846357253
102304012000
11a82611354
12543738340
132a944b314
1417bdd473a
15d7415350
hex89546ee0

2304012000 has 192 divisors, whose sum is σ = 7626685248. Its totient is φ = 608000000.

The previous prime is 2304011999. The next prime is 2304012001. The reversal of 2304012000 is 2104032.

It is an interprime number because it is at equal distance from previous prime (2304011999) and next prime (2304012001).

It is a super-2 number, since 2×23040120002 = 10616942592288000000, which contains 22 as substring.

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 (2304012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211050 + ... + 1212950.

It is an arithmetic number, because the mean of its divisors is an integer number (39722319).

Almost surely, 22304012000 is an apocalyptic number.

2304012000 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 2304012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813342624).

2304012000 is an abundant number, since it is smaller than the sum of its proper divisors (5322673248).

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

2304012000 is a wasteful number, since it uses less digits than its factorization.

2304012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2012 counting only the distinct ones).

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

The square root of 2304012000 is about 48000.1249998372. The cubic root of 2304012000 is about 1320.7731925589.

Adding to 2304012000 its reverse (2104032), we get a palindrome (2306116032).

The spelling of 2304012000 in words is "two billion, three hundred four million, twelve thousand".