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2304130400 = 2552112131831
BaseRepresentation
bin1000100101010110…
…0011110101100000
312221120121221200222
42021111203311200
514204324133100
61020345302212
7111045533225
oct21125436540
95846557628
102304130400
11a82692300
12543794968
132a9490190
1417c02594c
15d743a485
hex89563d60

2304130400 has 216 divisors, whose sum is σ = 6662042352. Its totient is φ = 772992000.

The previous prime is 2304130391. The next prime is 2304130441. The reversal of 2304130400 is 40314032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1257485 + ... + 1259315.

Almost surely, 22304130400 is an apocalyptic number.

2304130400 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 2304130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331021176).

2304130400 is an abundant number, since it is smaller than the sum of its proper divisors (4357911952).

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

2304130400 is a wasteful number, since it uses less digits than its factorization.

2304130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2304130400 is about 48001.3583141144. The cubic root of 2304130400 is about 1320.7958164092.

Adding to 2304130400 its reverse (40314032), we get a palindrome (2344444432).

The spelling of 2304130400 in words is "two billion, three hundred four million, one hundred thirty thousand, four hundred".