24 × 67 × 4513
1, 2, 4, 8, 16, 67, 134, 268, 536, 1072, 4513, 9026, 18052, 36104, 72208, 302371, 604742, 1209484, 2418968 and 4837936
No.
Its nearest Fibonacci number neighbors are 3524578 and 5702887.