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2342934720 = 26345737349
BaseRepresentation
bin1000101110100110…
…0101100011000000
320001021122102020000
42023221211203000
514244242402340
61024253120000
7112026421320
oct21351454300
96037572200
102342934720
11aa2586595
12554789000
132b4528709
14183247280
15daa52d30
hex8ba658c0

2342934720 has 560 divisors, whose sum is σ = 9810292800. Its totient is φ = 519561216.

The previous prime is 2342934719. The next prime is 2342934733. The reversal of 2342934720 is 274392432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 6713106 + ... + 6713454.

It is an arithmetic number, because the mean of its divisors is an integer number (17518380).

Almost surely, 22342934720 is an apocalyptic number.

2342934720 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 2342934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905146400).

2342934720 is an abundant number, since it is smaller than the sum of its proper divisors (7467358080).

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

2342934720 is a wasteful number, since it uses less digits than its factorization.

2342934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2342934720 is about 48403.8709195866. The cubic root of 2342934720 is about 1328.1691732999.

The spelling of 2342934720 in words is "two billion, three hundred forty-two million, nine hundred thirty-four thousand, seven hundred twenty".