Base | Representation |
---|---|
bin | 111101001000001011010 |
3 | 10202202122110 |
4 | 13221001122 |
5 | 1003044114 |
6 | 110533150 |
7 | 23011515 |
oct | 7510132 |
9 | 3682573 |
10 | 2003034 |
11 | 1148a00 |
12 | 8071b6 |
13 | 551937 |
14 | 3a1d7c |
15 | 298759 |
hex | 1e905a |
2003034 has 48 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 580800.
The previous prime is 2003033. The next prime is 2003051. The reversal of 2003034 is 4303002.
It is not an unprimeable number, because it can be changed into a prime (2003033) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22462 + ... + 22550.
It is an arithmetic number, because the mean of its divisors is an integer number (95760).
22003034 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2003034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).
2003034 is an abundant number, since it is smaller than the sum of its proper divisors (2593446).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2003034 is a wasteful number, since it uses less digits than its factorization.
2003034 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 147 (or 136 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 12.
The square root of 2003034 is about 1415.2858368542. The cubic root of 2003034 is about 126.0557828083.
Adding to 2003034 its reverse (4303002), we get a palindrome (6306036).
Subtracting 2003034 from its reverse (4303002), we obtain a cube (2299968 = 1323).
The spelling of 2003034 in words is "two million, three thousand, thirty-four".
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