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834595020 = 2232572331929
BaseRepresentation
bin110001101111101…
…110100011001100
32011011102211010200
4301233232203030
53202124020040
6214452133500
726452640430
oct6157564314
92134384120
10834595020
1139911a656
121b3607290
13103ba650c
147cbb29c0
154d40c630
hex31bee8cc

834595020 has 288 divisors, whose sum is σ = 3119800320. Its totient is φ = 176394240.

The previous prime is 834595019. The next prime is 834595039. The reversal of 834595020 is 20595438.

834595020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897916 + ... + 898844.

It is an arithmetic number, because the mean of its divisors is an integer number (10832640).

Almost surely, 2834595020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834595020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

834595020 is an abundant number, since it is smaller than the sum of its proper divisors (2285205300).

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

834595020 is a wasteful number, since it uses less digits than its factorization.

834595020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 834595020 is about 28889.3582483239. The cubic root of 834595020 is about 941.5107064480.

The spelling of 834595020 in words is "eight hundred thirty-four million, five hundred ninety-five thousand, twenty".