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untouchable n.  and  wasteful n.

First numbers that belong to both sets:

52, 88, 96, 120, 124, 188, 206, 210, 216, 238, 246, 248, 262, 268, 276, 288, 290, 292, 304, 306, 322, 324, 326, 336, 342, 372, 406, 408, 426, 430, 472, 474, 498, 516, 518, 520, 530, 540, 552, 556, 562, 576, 584, 612, 624, 626, 628, 658, 668, 670, 708, 714, 718, 726, 732, 738, 748, 750, 756, 766, 782, 784, 792, 802, 804, 818, 836, 848, 852, 872, 892, 894, 898, 902, 926, 934, 936, 964, 966, 976, 982, 996, 1002, 1028, 1044, 1060, 1068, 1074, 1078, 1080, 1102, 1116, 1128, 1146, 1148, 1150, 1160, 1180, 1192, 1200, 1212, 1222, 1236, 1248, 1254, 1256, 1258, 1266, 1272, 1288, 1314, 1316, 1326, 1332, 1342, 1348, 1360, 1380, 1388, 1398, 1404, 1406, 1420, 1422, 1476, 1506, 1508, 1510, 1528, 1542, 1566, 1578, 1588, 1596, 1632, 1650, 1680, 1692, 1716, 1732, 1746, 1758, 1776, 1806, 1816, 1820, 1830, 1840, 1842, 1844, 1852, 1860, 1866, 1884, 1896, 1956, 1958, 1960, 1962, 1972, 1986, 1992, 2008, 2010, 2022, 2024, 2036, 2050, 2052, 2062, 2068, 2078, 2096, 2098, 2108, 2118, 2120, 2128, 2136, 2148, 2152, 2158, 2168, 2174, 2178, 2190, 2196, 2198, 2212, 2218, 2226, 2228, 2232, 2248, 2258, 2262, 2302, 2306, 2316, 2322, 2324, 2330, 2338, 2356, 2364, 2366, 2376, 2388, 2404, 2408, 2410, 2416, 2422, 2436, 2446, 2452, 2454, 2464, 2482, 2484, 2490, 2496, 2498, 2502, 2514, 2518, 2530, 2564, 2568, 2572, 2576, 2586, 2588, 2590, 2600, 2602, 2606, 2608, 2614, 2628, 2640, 2642, 2704, 2718, 2724, 2726, 2736, 2748, 2758, 2760, 2762, 2766, 2774, 2784, 2788, 2808, 2824, 2828, 2850, 2856, 2874, 2876, 2894, 2902, 2914, 2922, 2932, 2946, 2950, 2952, 2968, 2978, 2982, 2984, 2992, 2994, 2996, 3018, 3028, 3036.

Some larger examples :