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Harshad n.  and  hex n.

First numbers that belong to both sets:

1, 7, 1141, 1387, 3781, 8911, 40717, 55081, 67051, 90307, 111169, 152551, 308161, 339697, 356041, 530461, 815887, 935767, 1038997, 1553041, 1658377, 1794907, 1922401, 2014741, 2547487, 2796571, 3027061, 3198169, 3476557, 3502441, 3719647, 3922777, 4145401, 4316401, 4446919, 5294737, 5593771, 6277087, 6611221, 6935761, 7277419, 7560469, 8222041, 8281747, 8351677, 8654707, 9108919, 9140311, 9425269, 9822871, 9964519, 10008307, 10217611, 10373221, 11577781, 12380977, 12576769, 12601351, 13299391, 13312027, 13770919, 14738617, 14831857, 15113341, 15234787, 15835519, 15945991, 16251769, 16349671, 16772581, 18265669, 19607077, 19714597, 20069947, 20664001, 20758591, 21346669, 21748669, 21829519, 22105531, 22547467, 23882587, 24001237, 24926419, 26883127, 27551791, 28357651, 28449961, 28913761, 29044297, 29062969, 29607067, 30156211, 31736269, 33196807, 33336667, 34833169, 35449219, 35593741, 36049867, 37139527, 37924741, 38567431, 38782861, 39498037, 39519811, 40329667, 40992337, 42401521, 42808519, 43491169, 44548387, 45012007, 45198127, 45361297, 46063927, 47580919, 47820169, 47988001, 49780207, 50000419, 50688631, 53311321, 53463187, 54225757, 54788407, 55353961, 56129851, 56311669, 57094219, 57277591, 58251727, 59234077, 61413301, 62039269, 64269037, 65104867, 68244391, 68817931, 69307327, 71457841, 72015301, 72545419, 72574927, 74745217, 74955007, 76431769, 78106519, 78320971, 79243381, 80388457, 81541747, 81760861, 84095191, 84444991, 86237047, 87528607, 91295317, 91759291, 92524087, 93526417, 95006269, 96021919, 96089821, 97213669, 101669587, 102649951, 103952647, 106582681, 107658271, 109680487, 110589337, 111684907, 115004017, 117168751, 118824427, 121367881, 124169767, 125446867, 125640937, 129199219, 130304071, 133206697, 134408827, 136181719, 137681551, 138903661, 139557661, 140705857, 141941287, 144886651, 146265919, 146559331, 146853037, 152831719, 154721827, 155844169, 156017197, 157622257, 160857019, 161472697, 162310141, 162486721, 162928591, 164435437, 168682507, 170758441, 171075457, 172437427, 174444751, 174536269, 176141719, 181281907, 186165019, 186496021, 191784061, 192696631, 193225951, 195350491, 196805701, 197146027, 202581919, 203174011, 204063769, 206246917, 207742087, 208091737, 211705201, 212411431, 213675481, 215197291, 217439047, 220874941, 221132431, 222112261, 225064747, 226626517, 229976341, 230870269, 231028201, 238351447, 238565419, 242325469, 243729547, 245517487, 246713077, 248348107, 248730391, 250755919, 254444671, 254831617, 257882137, 258940171, 261006769, 262015111, 265164607, 281717371, 281775517, 284281471, 286036381, 288208207, 289326661, 292576501, 299610127, 300630331, 304063669, 304728487, 310805587, 312150601, 312579169, 313621201, 318486337, 319476241, 320529697, 321771277, 326824219, 333812557, 334635847, 338512519, 340427269.

Some larger examples :