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CORRECTED-Liberty Interactive to buy rest of HSN

(Removes deal value from headline and corrects first paragraph to say the deal values HSN at $2.1 billion, not that the offer is worth $2.1 billion. Corrects third paragraph to say the deal gives HSN an enterprise value of $2.6 billion)

July 6 (Reuters) - Liberty Interactive Corp said it agreed to buy 62 percent of HSN Inc that it did not already own in a deal that values the TV shopping network at $2.1 billion.

The all-stock offer is worth $40.36 per HSN share, a premium of 29 percent to the stock's Wednesday close.

The deal gives HSN an enterprise value of $2.6 billion, Liberty Interactive said. (Reporting by Narottam Medhora in Bengaluru; Editing by Sriraj Kalluvila)