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nude n.  and  odious n.

First numbers that belong to both sets:

1, 2, 4, 7, 8, 11, 22, 44, 55, 88, 112, 115, 122, 124, 128, 155, 162, 168, 224, 244, 248, 324, 333, 336, 412, 448, 488, 515, 555, 648, 666, 672, 728, 784, 824, 936, 1113, 1116, 1144, 1184, 1222, 1236, 1288, 1296, 1311, 1332, 1335, 1344, 1362, 1368, 1395, 1444, 1448, 1488, 1555, 1715, 1722, 1888, 1962, 2128, 2144, 2184, 2226, 2232, 2288, 2444, 2616, 2622, 2664, 2688, 2888, 3333, 3393, 3444, 3624, 3816, 3924, 3933, 4116, 4144, 4164, 4212, 4288, 4368, 4416, 4464, 4888, 4932, 5155, 5515, 5535, 6132, 6312, 6612, 6666, 6696, 6762, 6816, 6888, 7112, 7476, 7644, 7777, 7784, 8128, 8232, 8288, 8328, 8424, 8616, 8736, 8832, 8928, 9126, 9135, 9144, 9162, 9333, 9864, 11111, 11112, 11115, 11136, 11166, 11172, 11184, 11196, 11222, 11226, 11232, 11244, 11262, 11288, 11322, 11424, 11436, 11444, 11448, 11555, 11688, 11711, 11832, 11888, 11916, 12112, 12122, 12124, 12128, 12162, 12168, 12212, 12216, 12222, 12224, 12244, 12248, 12264, 12412, 12488, 12612, 12624, 12636, 12824, 12848, 13224, 13332, 13335, 13377, 13392, 13632, 13644, 13662, 13713, 13776, 13797, 13995, 14128, 14212, 14224, 14292, 14444, 15155, 15515, 15715, 16122, 16212, 16266, 16362, 16464, 16644, 16662, 16716, 16848, 17248, 17472, 17535, 17717, 17724, 17766, 18112, 18184, 18264, 18288, 18384, 18424, 18448, 18488, 18824, 18848, 18872, 19116, 19368, 19719, 19926, 19935, 21112, 21122, 21124, 21128, 21162, 21184, 21224, 21244, 21264, 21312, 21324, 21336, 21366, 21412, 21424, 21444, 21448, 21492, 21612, 21624, 21636, 21648, 21816, 21824, 21848, 21864, 21888, 21924, 21996, 22116, 22128, 22144, 22164, 22184, 22212, 22222, 22224, 22236, 22326, 22332, 22344, 22362, 22368, 22392, 22416, 22444, 22464, 22488, 22644, 22848, 22888, 22896, 22932, 23124, 23226, 23316, 23364, 23412, 23616, 23622, 23664, 23772, 23832, 23922, 24112.

Some larger examples :