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9328344480 = 2533571361389
BaseRepresentation
bin10001011000000001…
…10011110110100000
3220002002220222222000
420230000303312200
5123101024010410
64141350444000
7450110422410
oct105400636640
926062828860
109328344480
113a57675304
121984063600
13b587c3680
14646c86640
15398e38dc0
hex22c033da0

9328344480 has 768 divisors, whose sum is σ = 40947379200. Its totient is φ = 1930936320.

The previous prime is 9328344461. The next prime is 9328344491. The reversal of 9328344480 is 844438239.

9328344480 is a `hidden beast` number, since 93 + 2 + 83 + 4 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 23980126 + ... + 23980514.

It is an arithmetic number, because the mean of its divisors is an integer number (53316900).

Almost surely, 29328344480 is an apocalyptic number.

9328344480 is a gapful number since it is divisible by the number (90) 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 9328344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

9328344480 is an abundant number, since it is smaller than the sum of its proper divisors (31619034720).

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

9328344480 is a wasteful number, since it uses less digits than its factorization.

9328344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9328344480 is about 96583.3550877168. The cubic root of 9328344480 is about 2105.0779967451.

The spelling of 9328344480 in words is "nine billion, three hundred twenty-eight million, three hundred forty-four thousand, four hundred eighty".