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9304249968 = 24321359611381
BaseRepresentation
bin10001010101001001…
…11001011001110000
3220000102120212111200
420222210321121300
5123023341444333
64135130211200
7446365551126
oct105244713160
926012525450
109304249968
113a45008792
121977b83b00
13b53808670
146439b3916
15396c79c13
hex22a939670

9304249968 has 240 divisors, whose sum is σ = 29005747680. Its totient is φ = 2766182400.

The previous prime is 9304249891. The next prime is 9304250047. The reversal of 9304249968 is 8699424039.

9304249968 is a `hidden beast` number, since 9 + 304 + 249 + 96 + 8 = 666.

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, 6736638 + ... + 6738018.

It is an arithmetic number, because the mean of its divisors is an integer number (120857282).

Almost surely, 29304249968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9304249968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502873840).

9304249968 is an abundant number, since it is smaller than the sum of its proper divisors (19701497712).

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

9304249968 is a wasteful number, since it uses less digits than its factorization.

9304249968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9304249968 is about 96458.5401506782. The cubic root of 9304249968 is about 2103.2640071540.

The spelling of 9304249968 in words is "nine billion, three hundred four million, two hundred forty-nine thousand, nine hundred sixty-eight".