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Harshad n.  and  star n.

First numbers that belong to both sets:

1, 35113, 80041, 143221, 199837, 452101, 1864837, 2986381, 4757941, 5958073, 6470893, 6875821, 7359337, 7425937, 8375653, 8908453, 8981713, 11818873, 13186837, 16583437, 16683337, 18092593, 18871813, 19776241, 20479537, 21060013, 24908437, 26750593, 27696313, 28527481, 29503837, 29637037, 35706961, 35853481, 36947053, 37906093, 39183481, 43853473, 46287037, 47528461, 48615373, 52480837, 55321993, 56494153, 59440537, 62268373, 63706933, 64964341, 66433537, 66633337, 72683281, 74025937, 75593701, 75806821, 77393233, 80395561, 85345273, 85571713, 88727221, 90442837, 93923353, 95928013, 97711561, 104759173, 106875721, 110398861, 118148437, 118414837, 142974253, 143267293, 147341881, 149550337, 149850037, 156274273, 156580633, 158857021, 160839037, 163459081, 170485381, 172860337, 174927601, 177333193, 180083773, 182193661, 187455061, 192451393, 194974201, 207481681, 207834661, 215388433, 215748073, 218418733, 223809337, 226529281, 231645493, 243193933, 245644813, 248880241, 251748037, 257532913, 262986121, 266333437, 275281813, 283965121, 284378041, 290106973, 302587813, 306177553, 308926801, 312553837, 315766621, 328338037, 332076961, 335388313, 338265433, 345420937, 348340681, 351731953, 352191493, 362470537, 372424573, 376405921, 383472181, 393708601, 404572393, 408721573, 410010133, 411897061, 415584037, 416083537, 426743533, 434265337, 438050881, 438563701, 445671253, 449506081, 461635273, 465538033, 472860037, 480776113, 496805401, 497351521, 504918613, 509552641, 513652537, 526050793, 529652521, 533832337, 546470353, 551290861, 559256221, 564132673, 572776021, 577122337, 585271513, 594074701, 599100337, 607402693, 611878213, 612484273, 630559513, 639076321, 653523193, 658165213, 662193181, 676260433, 681621733, 686362321, 700682653, 709659001, 715150837, 719349301, 724219093, 734007961, 744530761, 759442501, 774502093, 805064833, 809519041, 825064813, 846735121, 852017833, 861913261, 862632541, 910472653, 921444337, 927700741, 938025073, 944337421, 960362713, 961121953, 983731321, 994362013, 1005826537, 1028952721, 1029738601, 1035563437, 1047262393, 1064134837, 1064934037, 1070857441, 1082753533, 1088726221, 1093905037, 1106742853, 1111964293, 1118836081, 1124907337, 1136273293, 1137099133, 1143219673, 1148526361, 1167029173, 1173229633, 1180287901, 1192775401, 1204478353, 1210777381, 1211629861, 1229773033, 1242518941, 1269080353, 1281150937, 1287647101, 1288526221, 1300688713, 1308119941, 1314684037, 1327861513, 1360189153, 1380318337, 1387060921, 1400595373, 1407387241, 1415116837, 1427861413, 1456324921, 1462313593, 1469253313, 1470192373, 1477150741, 1483182037, 1491116761, 1498124413, 1504198333, 1525362481, 1533409093, 1553811337, 1561932541, 1568134333, 1575320473, 1618782301, 1627071337, 1641727333, 1655452261, 1671236461, 1693540801, 1707480181, 1708492501, 1722493153, 1745135821, 1752716233, 1761340933, 1807280281, 1821679201, 1822724821, 1830471733, 1837185013, 1846014841, 1853811037, 1916772013, 1924716061, 1940653441, 2012085937, 2013184837, 2028380293, 2045848141, 2052945037, 2062278361, 2085928021.

Some larger examples :