BdMO Problem 10

There are 2012 baskets in a row labeled as 1, 2, 3, ... 2012. A rabbit passes by and puts a carrot in every basket. The second rabbit does the same to each second basket; the third rabbit to each third basket and so on up to the 2012th rabbit. What is the total number of baskets with an odd number of carrots?

Image Credit: Flickr Tatiana.
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