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2334865680 = 2432572172229
BaseRepresentation
bin1000101100101011…
…0011100100010000
320000201110110120200
42023022303210100
514240211200210
61023404135200
7111601013400
oct21312634420
96021413520
102334865680
11a98a75164
12551b37500
132b2961a34
14182146800
15d9eac0c0
hex8b2b3910

2334865680 has 540 divisors, whose sum is σ = 9731893860. Its totient is φ = 500097024.

The previous prime is 2334865679. The next prime is 2334865691. The reversal of 2334865680 is 865684332.

It is a happy number.

2334865680 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 86 + 568 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 506790144 + 1828075536 = 22512^2 + 42756^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 10195806 + ... + 10196034.

Almost surely, 22334865680 is an apocalyptic number.

2334865680 is a gapful number since it is divisible by the number (20) 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 2334865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865946930).

2334865680 is an abundant number, since it is smaller than the sum of its proper divisors (7397028180).

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

2334865680 is a wasteful number, since it uses less digits than its factorization.

2334865680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2334865680 is about 48320.4478456067. The cubic root of 2334865680 is about 1326.6426864796.

The spelling of 2334865680 in words is "two billion, three hundred thirty-four million, eight hundred sixty-five thousand, six hundred eighty".