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BaseRepresentation
bin110001110000010…
…010011101000000
32011011201021212100
4301300102131000
53202143221310
6214455230400
726454122244
oct6160223500
92134637770
10834742080
11399210097
121b3678400
13103c28433
147cc10424
154d43aec0
hex31c12740

834742080 has 84 divisors (see below), whose sum is σ = 2871174852. Its totient is φ = 222597120.

The previous prime is 834742063. The next prime is 834742091. The reversal of 834742080 is 80247438.

It can be written as a sum of positive squares in 2 ways, for example, as 528632064 + 306110016 = 22992^2 + 17496^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 142041 + ... + 147800.

It is an arithmetic number, because the mean of its divisors is an integer number (34180653).

Almost surely, 2834742080 is an apocalyptic number.

834742080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

834742080 is an abundant number, since it is smaller than the sum of its proper divisors (2036432772).

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

834742080 is a wasteful number, since it uses less digits than its factorization.

834742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289864 (or 289851 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 834742080 is about 28891.9033640915. The cubic root of 834742080 is about 941.5660029010.

The spelling of 834742080 in words is "eight hundred thirty-four million, seven hundred forty-two thousand, eighty".