Base | Representation |
---|---|
bin | 111101000101110101010 |
3 | 10202201000000 |
4 | 13220232222 |
5 | 1003024314 |
6 | 110523430 |
7 | 23005152 |
oct | 7505652 |
9 | 3681000 |
10 | 2001834 |
11 | 114800a |
12 | 806576 |
13 | 551223 |
14 | 3a1762 |
15 | 298209 |
hex | 1e8baa |
2001834 has 28 divisors (see below), whose sum is σ = 4505346. Its totient is φ = 666792.
The previous prime is 2001833. The next prime is 2001847. The reversal of 2001834 is 4381002.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 1108809 + 893025 = 1053^2 + 945^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (2001833) by changing a digit.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 772 + ... + 2144.
22001834 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2001834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252673).
2001834 is an abundant number, since it is smaller than the sum of its proper divisors (2503512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2001834 is an equidigital number, since it uses as much as digits as its factorization.
2001834 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1393 (or 1378 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2001834 is about 1414.8618307100. The cubic root of 2001834 is about 126.0306048105.
Adding to 2001834 its reverse (4381002), we get a palindrome (6382836).
The spelling of 2001834 in words is "two million, one thousand, eight hundred thirty-four".
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