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2324282688 = 26347132379
BaseRepresentation
bin1000101010001001…
…1011110101000000
312222222112210110000
42022202123311000
514230004021223
61022345240000
7111412035240
oct21242336500
95888483400
102324282688
11a92aa6a92
1254a493000
132b06c7a00
1418098db20
15d90bb543
hex8a89bd40

2324282688 has 420 divisors, whose sum is σ = 8548969440. Its totient is φ = 611380224.

The previous prime is 2324282683. The next prime is 2324282699. The reversal of 2324282688 is 8862824232.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324282683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6132483 + ... + 6132861.

Almost surely, 22324282688 is an apocalyptic number.

2324282688 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 2324282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274484720).

2324282688 is an abundant number, since it is smaller than the sum of its proper divisors (6224686752).

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

2324282688 is a wasteful number, since it uses less digits than its factorization.

2324282688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 404 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2324282688 is about 48210.8150522266. The cubic root of 2324282688 is about 1324.6352740998.

The spelling of 2324282688 in words is "two billion, three hundred twenty-four million, two hundred eighty-two thousand, six hundred eighty-eight".