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9234381240 = 2333572211827
BaseRepresentation
bin10001001100110100…
…10111100110111000
3212211120010011122000
420212122113212320
5122403000144430
64124152501000
7444556642200
oct104632274670
925746104560
109234381240
113a09627337
1219586aa760
13b421b4816
146385c7400
15390a77e60
hex2266979b8

9234381240 has 384 divisors, whose sum is σ = 36019987200. Its totient is φ = 2098172160.

The previous prime is 9234381203. The next prime is 9234381253. The reversal of 9234381240 is 421834329.

9234381240 is a `hidden beast` number, since 9 + 2 + 34 + 381 + 240 = 666.

9234381240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9234381195 and 9234381204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11165707 + ... + 11166533.

It is an arithmetic number, because the mean of its divisors is an integer number (93802050).

Almost surely, 29234381240 is an apocalyptic number.

9234381240 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 9234381240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009993600).

9234381240 is an abundant number, since it is smaller than the sum of its proper divisors (26785605960).

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

9234381240 is a wasteful number, since it uses less digits than its factorization.

9234381240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9234381240 is about 96095.6879365562. The cubic root of 9234381240 is about 2097.9860692283.

The spelling of 9234381240 in words is "nine billion, two hundred thirty-four million, three hundred eighty-one thousand, two hundred forty".