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834328 = 231119499
BaseRepresentation
bin11001011101100011000
31120101111001
43023230120
5203144303
625514344
710043305
oct3135430
91511431
10834328
1151a930
123429b4
132329b1
1417a0ac
1511731d
hexcbb18

834328 has 32 divisors (see below), whose sum is σ = 1800000. Its totient is φ = 358560.

The previous prime is 834311. The next prime is 834341. The reversal of 834328 is 823438.

834328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8343282 = 1392206423168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 834296 and 834305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1423 + ... + 1921.

It is an arithmetic number, because the mean of its divisors is an integer number (56250).

834328 is a Friedman number, since it can be written as 38*(28^3+4), using all its digits and the basic arithmetic operations.

2834328 is an apocalyptic number.

834328 is a gapful number since it is divisible by the number (88) 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 834328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900000).

834328 is an abundant number, since it is smaller than the sum of its proper divisors (965672).

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

834328 is a wasteful number, since it uses less digits than its factorization.

834328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 531 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 834328 is about 913.4155680740. The cubic root of 834328 is about 94.1410286884.

The spelling of 834328 in words is "eight hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 499 836 998 1672 1996 3992 5489 9481 10978 18962 21956 37924 43912 75848 104291 208582 417164 834328