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nude n.  and  tau n.

First numbers that belong to both sets:

1, 2, 8, 9, 12, 24, 36, 88, 128, 132, 184, 248, 288, 384, 396, 424, 444, 448, 488, 612, 636, 672, 824, 864, 936, 1112, 1116, 1164, 1176, 1212, 1224, 1236, 1248, 1332, 1344, 1368, 1448, 1632, 1644, 1692, 1824, 1944, 2124, 2196, 2232, 2248, 2316, 2364, 2412, 2488, 2664, 2688, 2772, 2824, 3168, 3276, 3324, 3384, 3492, 3636, 3816, 3924, 4128, 4164, 4184, 4224, 4236, 4248, 4392, 4824, 4896, 4932, 6144, 6432, 6444, 6624, 6816, 6912, 6984, 8136, 8248, 8488, 8664, 8736, 8824, 8832, 8928, 9144, 9324, 9432, 9864, 11136, 11196, 11232, 11244, 11364, 11412, 11424, 11436, 11848, 11916, 12132, 12168, 12184, 12248, 12384, 12424, 12492, 12612, 12636, 12768, 12888, 12924, 13116, 13122, 13164, 13212, 13236, 13344, 13644, 13896, 14184, 14244, 14292, 14316, 14328, 14412, 14436, 14488, 14688, 14784, 14888, 16164, 16236, 16332, 16344, 16416, 16488, 16992, 17472, 18184, 18248, 18336, 18432, 18488, 18816, 18936, 19296, 19368, 19692, 19944, 21132, 21216, 21324, 21444, 21612, 21636, 21848, 21888, 21996, 22144, 22164, 22176, 22212, 22332, 22368, 22392, 22424, 22644, 22824, 22848, 22888, 23136, 23292, 23364, 23412, 23424, 23832, 24132, 24184, 24192, 24264, 24288, 24324, 24444, 24448, 24488, 24636, 24864, 24984, 26244, 26316, 26424, 26436, 26496, 26964, 28128, 28224, 28288, 29124, 29196, 29412, 29448, 29664, 31116, 31212, 31392, 31896, 31932, 31968, 32124, 32244, 32316, 32328, 32364, 32436, 33192, 33312, 33324, 33336, 33444, 33612, 33624, 33636, 33888, 34116, 34164, 34212, 34272, 34332, 34464, 34488, 34644, 36132, 36216, 36324, 36384, 36444, 36648, 38112, 38688, 39132, 39384, 39492, 39924, 39996, 41112, 41184, 41224, 41292, 41436, 41664, 41848, 42112, 42132, 42144, 42184, 42248, 42264, 42324, 42336, 42424, 42624, 42696, 42912, 43116, 43128, 43164, 43236, 43488, 43644, 44124, 44136, 44244, 44248, 44316, 44364, 44412, 44424, 44448.

Some larger examples :