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9325031040 = 2734513101137
BaseRepresentation
bin10001010111101000…
…01010111010000000
3220001212200122210000
420223310022322000
5123044201443130
64141151440000
7450040312263
oct105364127200
926055618700
109325031040
113a55811926
121982b26000
13b57c03460
14646662cda
153989d2260
hex22bd0ae80

9325031040 has 640 divisors, whose sum is σ = 36482458320. Its totient is φ = 2256076800.

The previous prime is 9325031017. The next prime is 9325031081. The reversal of 9325031040 is 401305239.

It can be written as a sum of positive squares in 8 ways, for example, as 5319660096 + 4005370944 = 72936^2 + 63288^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 9325030995 and 9325031013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68065852 + ... + 68065988.

Almost surely, 29325031040 is an apocalyptic number.

9325031040 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 9325031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18241229160).

9325031040 is an abundant number, since it is smaller than the sum of its proper divisors (27157427280).

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

9325031040 is a wasteful number, since it uses less digits than its factorization.

9325031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 9325031040 is about 96566.2002980339. The cubic root of 9325031040 is about 2104.8287250884.

Adding to 9325031040 its reverse (401305239), we get a palindrome (9726336279).

The spelling of 9325031040 in words is "nine billion, three hundred twenty-five million, thirty-one thousand, forty".