What's a number between 1,000 and 2,000 that can be expressed as a power?

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1024=210=322=45; 1089=332; 1156=342; 1225=352; 1296=64=362; 1369=372; 1444=382; 1521=392; 1600=402; 1681=412; 1728=123; 1764=422; 1849=432; 1936=442.

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