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2323980288 = 2133371979
BaseRepresentation
bin1000101010000101…
…0010000000000000
312222221222102122000
42022201102000000
514224414332123
61022334544000
7111406335510
oct21241220000
95887872560
102323980288
11a9290a873
1254a368000
132b0620186
14180911840
15d905bb43
hex8a852000

2323980288 has 448 divisors, whose sum is σ = 8388096000. Its totient is φ = 621084672.

The previous prime is 2323980287. The next prime is 2323980293. The reversal of 2323980288 is 8820893232.

2323980288 is a `hidden beast` number, since 232 + 398 + 0 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323980287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29417433 + ... + 29417511.

Almost surely, 22323980288 is an apocalyptic number.

2323980288 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 2323980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194048000).

2323980288 is an abundant number, since it is smaller than the sum of its proper divisors (6064115712).

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

2323980288 is an equidigital number, since it uses as much as digits as its factorization.

2323980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2323980288 is about 48207.6787244522. The cubic root of 2323980288 is about 1324.5778245359.

The spelling of 2323980288 in words is "two billion, three hundred twenty-three million, nine hundred eighty thousand, two hundred eighty-eight".