Base | Representation |
---|---|
bin | 11001001000001100100 |
3 | 1112211111011 |
4 | 3021001210 |
5 | 202322041 |
6 | 25352004 |
7 | 6666400 |
oct | 3110144 |
9 | 1484434 |
10 | 823396 |
11 | 5126a2 |
12 | 338604 |
13 | 22aa22 |
14 | 176100 |
15 | 113e81 |
hex | c9064 |
823396 has 18 divisors (see below), whose sum is σ = 1676598. Its totient is φ = 352800.
The previous prime is 823373. The next prime is 823399. The reversal of 823396 is 693328.
It is a happy number.
823396 is nontrivially palindromic in base 13.
It can be written as a sum of positive squares in only one way, i.e., 509796 + 313600 = 714^2 + 560^2 .
It is a nialpdrome in base 7.
It is a zygodrome in base 13.
It is not an unprimeable number, because it can be changed into a prime (823399) by changing a digit.
823396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1905 + ... + 2296.
2823396 is an apocalyptic number.
It is an amenable number.
823396 is an abundant number, since it is smaller than the sum of its proper divisors (853202).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
823396 is a wasteful number, since it uses less digits than its factorization.
823396 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4219 (or 4210 counting only the distinct ones).
The product of its digits is 7776, while the sum is 31.
The square root of 823396 is about 907.4117036935. The cubic root of 823396 is about 93.7280505651.
The spelling of 823396 in words is "eight hundred twenty-three thousand, three hundred ninety-six".
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