Search a number
-
+
9330375040 = 275723231127
BaseRepresentation
bin10001011000010001…
…00011100110000000
3220002020202011100221
420230020203212000
5123102034000130
64141502152424
7450133610410
oct105410434600
926066664327
109330375040
113a58831958
121984882714
13b5905499c
14647254640
153991da87a
hex22c223980

9330375040 has 384 divisors, whose sum is σ = 27724677120. Its totient is φ = 2937876480.

The previous prime is 9330375023. The next prime is 9330375053. The reversal of 9330375040 is 405730339.

It is a junction number, because it is equal to n+sod(n) for n = 9330374987 and 9330375005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73467457 + ... + 73467583.

It is an arithmetic number, because the mean of its divisors is an integer number (72199680).

Almost surely, 29330375040 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 9330375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862338560).

9330375040 is an abundant number, since it is smaller than the sum of its proper divisors (18394302080).

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

9330375040 is a wasteful number, since it uses less digits than its factorization.

9330375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 34.

The square root of 9330375040 is about 96593.8664719453. The cubic root of 9330375040 is about 2105.2307275636.

The spelling of 9330375040 in words is "nine billion, three hundred thirty million, three hundred seventy-five thousand, forty".