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2342134080 = 263251131347
BaseRepresentation
bin1000101110011010…
…0010000101000000
320001020010201221200
42023212202011000
514244041242310
61024224021200
7112016545146
oct21346420500
96036121850
102342134080
11aa208a000
12554461800
132b4308170
141830b9596
15da9459c0
hex8b9a2140

2342134080 has 672 divisors, whose sum is σ = 9745602048. Its totient is φ = 512962560.

The previous prime is 2342134079. The next prime is 2342134087. The reversal of 2342134080 is 804312432.

2342134080 is a `hidden beast` number, since 234 + 21 + 3 + 408 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342134087) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 49832617 + ... + 49832663.

It is an arithmetic number, because the mean of its divisors is an integer number (14502384).

Almost surely, 22342134080 is an apocalyptic number.

2342134080 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 2342134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872801024).

2342134080 is an abundant number, since it is smaller than the sum of its proper divisors (7403467968).

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

2342134080 is a wasteful number, since it uses less digits than its factorization.

2342134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2342134080 is about 48395.5997999818. The cubic root of 2342134080 is about 1328.0178664069.

The spelling of 2342134080 in words is "two billion, three hundred forty-two million, one hundred thirty-four thousand, eighty".