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834050880 = 263251322277
BaseRepresentation
bin110001101101101…
…001101101000000
32011010102011201100
4301231221231000
53202004112010
6214432334400
726445213135
oct6155515500
92133364640
10834050880
11398888853
121b33a4400
13103a45940
147cab058c
154d3512c0
hex31b69b40

834050880 has 168 divisors, whose sum is σ = 3089602152. Its totient is φ = 205295616.

The previous prime is 834050879. The next prime is 834050927. The reversal of 834050880 is 88050438.

It can be written as a sum of positive squares in 4 ways, for example, as 77580864 + 756470016 = 8808^2 + 27504^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26302 + ... + 48578.

It is an arithmetic number, because the mean of its divisors is an integer number (18390489).

Almost surely, 2834050880 is an apocalyptic number.

834050880 is a gapful number since it is divisible by the number (80) 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 834050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544801076).

834050880 is an abundant number, since it is smaller than the sum of its proper divisors (2255551272).

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

834050880 is a wasteful number, since it uses less digits than its factorization.

834050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22313 (or 22300 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 834050880 is about 28879.9390581074. The cubic root of 834050880 is about 941.3060463021.

The spelling of 834050880 in words is "eight hundred thirty-four million, fifty thousand, eight hundred eighty".