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9434992320 = 2633513167503
BaseRepresentation
bin10001100100101111…
…01000111011000000
3220100112121021022000
420302113220323000
5123310324223240
64200120344000
7452544053145
oct106227507300
926315537260
109434992320
114001897416
1219b3915000
13b74923cc0
146570c83cc
153a34a3430
hex2325e8ec0

9434992320 has 448 divisors, whose sum is σ = 36131235840. Its totient is φ = 2303963136.

The previous prime is 9434992289. The next prime is 9434992339. The reversal of 9434992320 is 232994349.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18757189 + ... + 18757691.

It is an arithmetic number, because the mean of its divisors is an integer number (80650080).

Almost surely, 29434992320 is an apocalyptic number.

9434992320 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 9434992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18065617920).

9434992320 is an abundant number, since it is smaller than the sum of its proper divisors (26696243520).

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

9434992320 is a wasteful number, since it uses less digits than its factorization.

9434992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 9434992320 is about 97133.8886280169. Note that the first 3 decimals coincide. The cubic root of 9434992320 is about 2113.0698350489.

The spelling of 9434992320 in words is "nine billion, four hundred thirty-four million, nine hundred ninety-two thousand, three hundred twenty".