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2323520640 = 27345719337
BaseRepresentation
bin1000101001111110…
…0001110010000000
312222221010002010000
42022133201302000
514224310130030
61022321040000
7111402412440
oct21237416200
95887102100
102323520640
11a926264a1
1254a186000
132b04bbbac
14180832120
15d8eba860
hex8a7e1c80

2323520640 has 640 divisors, whose sum is σ = 10011830400. Its totient is φ = 501645312.

The previous prime is 2323520603. The next prime is 2323520657. The reversal of 2323520640 is 460253232.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894552 + ... + 6894888.

It is an arithmetic number, because the mean of its divisors is an integer number (15643485).

Almost surely, 22323520640 is an apocalyptic number.

2323520640 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 2323520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005915200).

2323520640 is an abundant number, since it is smaller than the sum of its proper divisors (7688309760).

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

2323520640 is a wasteful number, since it uses less digits than its factorization.

2323520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2323520640 is about 48202.9111154088. The cubic root of 2323520640 is about 1324.4904916534.

Adding to 2323520640 its reverse (460253232), we get a palindrome (2783773872).

The spelling of 2323520640 in words is "two billion, three hundred twenty-three million, five hundred twenty thousand, six hundred forty".