23 × 52 × 17
1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.