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2313032400 = 2432527263349
BaseRepresentation
bin1000100111011110…
…0001001011010000
312222012101012221200
42021313201023100
514214114014100
61021304151200
7111214310460
oct21167411320
95865335850
102313032400
11a87712528
12546768500
132ab289033
1417d2a1ba0
15d80e7e00
hex89de12d0

2313032400 has 360 divisors, whose sum is σ = 9234825600. Its totient is φ = 525173760.

The previous prime is 2313032387. The next prime is 2313032417. The reversal of 2313032400 is 42303132.

2313032400 is a `hidden beast` number, since 231 + 3 + 0 + 32 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6627426 + ... + 6627774.

Almost surely, 22313032400 is an apocalyptic number.

2313032400 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 2313032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617412800).

2313032400 is an abundant number, since it is smaller than the sum of its proper divisors (6921793200).

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

2313032400 is a wasteful number, since it uses less digits than its factorization.

2313032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2313032400 is about 48093.9954672098. The cubic root of 2313032400 is about 1322.4945939318.

Adding to 2313032400 its reverse (42303132), we get a palindrome (2355335532).

The spelling of 2313032400 in words is "two billion, three hundred thirteen million, thirty-two thousand, four hundred".