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831140352 = 293472409
BaseRepresentation
bin110001100010100…
…011001000000000
32010220221022020000
4301202203020000
53200232442402
6214250120000
726411401500
oct6142431000
92126838200
10831140352
11397180059
121b2420000
13103266c33
147c553a00
154ce78c1c
hex318a3200

831140352 has 300 divisors, whose sum is σ = 2892808710. Its totient is φ = 236888064.

The previous prime is 831140333. The next prime is 831140363. The reversal of 831140352 is 253041138.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 537497856 + 293642496 = 23184^2 + 17136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2031924 + ... + 2032332.

Almost surely, 2831140352 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 831140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446404355).

831140352 is an abundant number, since it is smaller than the sum of its proper divisors (2061668358).

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

831140352 is an equidigital number, since it uses as much as digits as its factorization.

831140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 831140352 is about 28829.5048864874. The cubic root of 831140352 is about 940.2098339465.

The spelling of 831140352 in words is "eight hundred thirty-one million, one hundred forty thousand, three hundred fifty-two".