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2342875680 = 2532523127557
BaseRepresentation
bin1000101110100101…
…0111001000100000
320001021112102020100
42023221113020200
514244234010210
61024251542400
7112026054225
oct21351271040
96037472210
102342875680
11aa25461a2
1255475aa00
132b4507892
1418322d94c
15daa405c0
hex8ba57220

2342875680 has 288 divisors, whose sum is σ = 8423460864. Its totient is φ = 591833088.

The previous prime is 2342875649. The next prime is 2342875709. The reversal of 2342875680 is 865782432.

2342875680 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 87 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 4205962 + ... + 4206518.

It is an arithmetic number, because the mean of its divisors is an integer number (29248128).

Almost surely, 22342875680 is an apocalyptic number.

2342875680 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 2342875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211730432).

2342875680 is an abundant number, since it is smaller than the sum of its proper divisors (6080585184).

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

2342875680 is a wasteful number, since it uses less digits than its factorization.

2342875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2342875680 is about 48403.2610471650. The cubic root of 2342875680 is about 1328.1580169545.

The spelling of 2342875680 in words is "two billion, three hundred forty-two million, eight hundred seventy-five thousand, six hundred eighty".