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2320744320 = 273253141317
BaseRepresentation
bin1000101001010011…
…1011111110000000
312222201220000201100
42022110323332000
514223102304240
61022141334400
7111340000266
oct21224737600
95881800640
102320744320
11a90aaa614
12549267400
132aca592bb
1418030c436
15d8b1ce30
hex8a53bf80

2320744320 has 384 divisors, whose sum is σ = 8500826880. Its totient is φ = 582451200.

The previous prime is 2320744249. The next prime is 2320744373. The reversal of 2320744320 is 234470232.

2320744320 is a `hidden beast` number, since 23 + 207 + 4 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 7320802 + ... + 7321118.

It is an arithmetic number, because the mean of its divisors is an integer number (22137570).

Almost surely, 22320744320 is an apocalyptic number.

2320744320 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 2320744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250413440).

2320744320 is an abundant number, since it is smaller than the sum of its proper divisors (6180082560).

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

2320744320 is a wasteful number, since it uses less digits than its factorization.

2320744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2320744320 is about 48174.1042469915. The cubic root of 2320744320 is about 1323.9627472534.

The spelling of 2320744320 in words is "two billion, three hundred twenty million, seven hundred forty-four thousand, three hundred twenty".