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iban n.  and  nude n.

First numbers that belong to both sets:

1, 2, 3, 4, 7, 11, 12, 22, 24, 44, 77, 111, 112, 122, 124, 144, 212, 222, 224, 244, 312, 324, 412, 424, 444, 777, 1111, 1112, 1122, 1124, 1144, 1212, 1222, 1224, 1244, 1311, 1344, 1412, 1424, 1444, 1722, 1771, 2112, 2122, 2124, 2144, 2212, 2222, 2224, 2244, 2322, 2412, 2424, 2444, 2744, 2772, 3111, 3144, 3171, 3222, 3312, 3324, 3444, 3717, 4112, 4124, 4144, 4172, 4212, 4224, 4244, 4344, 4412, 4424, 4444, 7112, 7224, 7371, 7777, 11111, 11112, 11122, 11124, 11144, 11172, 11212, 11222, 11224, 11244, 11322, 11412, 11424, 11444, 11711, 12112, 12122, 12124, 12144, 12212, 12222, 12224, 12244, 12312, 12324, 12412, 12424, 12444, 12712, 14112, 14124, 14144, 14212, 14224, 14244, 14412, 14424, 14444, 17122, 17171, 17444, 17472, 17717, 17724, 21112, 21122, 21124, 21144, 21212, 21222, 21224, 21244, 21312, 21324, 21412, 21424, 21444, 22112, 22122, 22124, 22144, 22212, 22222, 22224, 22244, 22344, 22412, 22424, 22444, 22722, 23112, 23124, 23244, 23322, 23412, 23424, 23772, 24112, 24124, 24144, 24212, 24224, 24244, 24312, 24324, 24412, 24424, 24444, 24472, 24724, 27244, 27272, 27412, 41112, 41124, 41144, 41212, 41224, 41244, 41272, 41412, 41424, 41444, 42112, 42124, 42144, 42212, 42224, 42244, 42312, 42324, 42412, 42424, 42444, 43212, 43224, 43344, 44112, 44124, 44144, 44212, 44224, 44244, 44412, 44424, 44444, 44744, 44772, 47124, 47712, 71722, 71771, 72212, 72324, 72744, 72772, 73122, 73311, 73773, 74144, 74172, 74424, 77112, 77224, 77322, 77777, 111111, 111112, 111122, 111124, 111144, 111212, 111222, 111224, 111244, 111272, 111312, 111324, 111412, 111424, 111444, 112112, 112122, 112124, 112144, 112212, 112222, 112224, 112244, 112344, 112412, 112424, 112444, 114112, 114124, 114144, 114212, 114224, 114244, 114312, 114324, 114412, 114424, 114444, 114744, 114772, 117117, 117124, 117222, 117712, 121112, 121122, 121124, 121144, 121212, 121222, 121224, 121244, 121344, 121412, 121424.

Some larger examples :