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2323016640 = 263257611889
BaseRepresentation
bin1000101001110110…
…0110101111000000
312222220011110202100
42022131212233000
514224143013030
61022302150400
7111365213160
oct21235465700
95886143670
102323016640
11a9231186a
12549b82400
132b0373679
141807405a0
15d8e1b360
hex8a766bc0

2323016640 has 336 divisors, whose sum is σ = 9286280640. Its totient is φ = 521994240.

The previous prime is 2323016623. The next prime is 2323016747. The reversal of 2323016640 is 466103232.

2323016640 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 0 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1228816 + ... + 1230704.

It is an arithmetic number, because the mean of its divisors is an integer number (27637740).

Almost surely, 22323016640 is an apocalyptic number.

2323016640 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 2323016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643140320).

2323016640 is an abundant number, since it is smaller than the sum of its proper divisors (6963264000).

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

2323016640 is a wasteful number, since it uses less digits than its factorization.

2323016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2323016640 is about 48197.6829318589. The cubic root of 2323016640 is about 1324.3947186745.

Adding to 2323016640 its reverse (466103232), we get a palindrome (2789119872).

The spelling of 2323016640 in words is "two billion, three hundred twenty-three million, sixteen thousand, six hundred forty".