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2325306368 = 21072112383
BaseRepresentation
bin1000101010011001…
…0101110000000000
320000001110210200002
42022212111300000
514230234300433
61022423215132
7111423530600
oct21246256000
96001423602
102325306368
11a93636100
1254a8a74a8
132b0995938
14180b78c00
15d921e9e8
hex8a995c00

2325306368 has 198 divisors, whose sum is σ = 5959029888. Its totient is φ = 903598080.

The previous prime is 2325306331. The next prime is 2325306377. The reversal of 2325306368 is 8636035232.

It is a super-3 number, since 3×23253063683 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 17 ways as a sum of consecutive naturals, for example, 6071105 + ... + 6071487.

Almost surely, 22325306368 is an apocalyptic number.

2325306368 is a gapful number since it is divisible by the number (28) 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 2325306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979514944).

2325306368 is an abundant number, since it is smaller than the sum of its proper divisors (3633723520).

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

2325306368 is a wasteful number, since it uses less digits than its factorization.

2325306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 2325306368 is about 48221.4305884842. The cubic root of 2325306368 is about 1324.8297145350.

The spelling of 2325306368 in words is "two billion, three hundred twenty-five million, three hundred six thousand, three hundred sixty-eight".