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Family name Heen (Heen , هين ) , all over the world, is quite a rare surname. The last name Heen is characteristic of Norway, where it is quite a common surname, Mauritius, where it is quite a rare surname, and Malaysia. Not in comparison with a country's population, this name is the most popular in Norway, Malaysia, and Taiwan. Much less frequently, Heen is the forename as well as the last name.