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pernicious n.  and  Zuckerman n.

First numbers that belong to both sets:

3, 5, 6, 7, 9, 11, 12, 24, 36, 112, 115, 132, 144, 224, 384, 672, 1113, 1116, 1184, 1296, 1311, 1332, 1344, 1715, 2112, 2144, 2232, 4112, 4224, 4416, 6144, 7112, 8832, 11112, 11172, 11232, 11424, 11711, 12112, 12128, 12224, 12288, 16416, 18112, 18432, 19116, 21112, 21184, 21312, 22144, 24112, 24912, 32832, 33111, 34992, 37212, 41112, 41616, 42624, 42912, 43632, 48128, 62112, 64128, 71232, 71316, 77175, 81216, 82944, 83232, 86112, 91728, 111264, 111424, 112116, 113184, 113319, 116112, 118144, 119232, 119313, 121716, 122112, 131112, 131115, 131328, 131712, 134112, 139968, 141192, 141216, 141312, 141912, 143112, 144128, 146112, 162432, 167328, 177135, 182784, 183168, 189216, 193212, 212224, 214144, 218112, 219132, 232128, 239112, 241632, 244224, 282112, 282624, 291168, 312336, 316224, 317184, 317331, 331344, 333315, 373212, 381312, 382464, 411216, 411712, 414112, 421888, 438912, 441312, 613332, 662112, 688128, 698112, 719712, 721112, 731115, 733131, 733824, 918144, 973728, 1111131, 1111311, 1111416, 1112128, 1113111, 1114112, 1114176, 1116432, 1122624, 1123632, 1124112, 1124224, 1128448, 1131264, 1131711, 1132128, 1132224, 1132416, 1134144, 1164288, 1168128, 1169316, 1171212, 1177176, 1177911, 1182272, 1191915, 1197315, 1211112, 1212112, 1213344, 1214112, 1216128, 1217916, 1218112, 1221192, 1221216, 1221312, 1223424, 1223712, 1242112, 1261824, 1263168, 1264896, 1266192, 1274112, 1277136, 1283328, 1292112, 1311111, 1311744, 1312128, 1312224, 1313172, 1323216, 1331424, 1339416, 1349136, 1364112, 1372224, 1373715, 1389312, 1411112, 1412112, 1412224, 1413216, 1421136, 1421824, 1431216, 1433376, 1436112, 1437912, 1442112, 1446336, 1461312, 1462272, 1491264, 1661184, 1672272, 1717744, 1721664, 1722112, 1811376, 1826112, 1882112, 1912896, 1917216, 1983744, 2111112, 2111616, 2112192, 2112384, 2113272, 2116224, 2118112, 2121728, 2121912, 2122112, 2132112, 2133216, 2138112, 2141184, 2182144, 2184192, 2213136, 2218112, 2222112, 2228224, 2231112, 2231424, 2231712, 2239488, 2241216, 2241312, 2242112, 2247168, 2282112, 2291112, 2321112, 2321136, 2342112, 2379132, 2382912, 2411136, 2422784, 2426112, 2431296, 2442112, 2473632, 2619216, 2631312, 2673216, 2772224, 2786112, 2822144, 3113712, 3116232, 3121272, 3121632, 3122112.

Some larger examples :