24 × 3 × 7 × 4259
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336, 4259, 8518, 12777, 17036, 25554, 29813, 34072, 51108, 59626, 68144, 89439, 102216, 119252, 178878, 204432, 238504, 357756, 477008, 715512 and 1431024
No.
Its nearest Fibonacci number neighbors are 1346269 and 2178309.