Genius Corner: Gain fame with our brain game

This is the last game of the semester; you have nothing to lose! Send your answer to editnews@coe.berkeley.edu, and include your name, major, and class year. The first person to e-mail the right answer will have his or her name printed in the next issue of Engineering News along with the answer. Twice a semester, one of the biweekly winners will be picked at random to win two movie tickets, courtesy of Engineering Alumni Relations. Plus, more chances to win! At the end of the semester, entrants who didn't win will be automatically entered into a drawing to win a Berkeley Engineering mug and T-shirt.

The third and fourth powers of this integer contain between them exactly one of each digit. What is the integer?

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