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nude n.  and  super-d n.

First numbers that belong to both sets:

333, 336, 784, 1131, 1764, 1848, 1926, 2124, 2232, 2848, 3324, 3333, 3336, 3339, 3366, 3384, 3444, 6864, 7119, 8488, 9144, 11331, 12848, 12888, 13131, 13272, 13464, 13488, 13824, 14292, 15715, 16128, 16164, 16368, 18224, 18488, 19719, 21122, 21132, 21624, 22326, 22722, 22848, 23262, 23688, 24336, 24724, 26616, 27132, 28488, 31131, 31731, 33168, 33192, 33216, 33222, 33264, 33288, 33312, 33315, 33324, 33333, 33336, 33366, 33384, 33399, 33432, 33444, 33555, 33612, 33624, 33636, 33648, 33666, 33696, 33726, 33768, 33816, 33864, 33888, 34416, 36312, 38688, 41184, 41412, 42144, 42848, 43488, 43992, 44288, 44328, 44848, 44964, 46164, 46488, 47488, 48384, 48488, 48848, 49248, 49896, 51115, 51135, 53955, 61332, 61644, 62166, 63336, 63444, 63864, 64116, 64128, 66384, 73731, 77931, 78288, 79128, 81312, 82464, 82848, 84336, 84624, 84824, 87248, 88368, 88416, 88488, 91368, 91962, 111184, 111248, 111312, 112164, 112248, 112424, 112848, 113319, 113331, 113688, 113715, 113931, 114132, 114488, 114624, 114772, 116664, 116676, 117712, 117726, 118488, 119331, 121144, 122112, 122316, 122724, 122848, 122976, 123132, 123222, 123384, 123444, 124144, 124344, 124644, 126888, 126936, 127722, 127848, 128184, 128488, 128888, 131115, 131319, 131331, 131412, 131931, 132288, 133119, 133131, 133488, 133632, 133728, 135135, 138624, 139122, 139131, 141128, 141132, 141384, 141816, 141824, 142848, 143496, 144488, 144624, 146688, 146916, 147784, 148176, 148488, 149436, 155535, 155715, 161616, 161622, 161664, 161688, 163128, 163488, 164196, 164412, 164424, 164436, 164664, 166164, 166368, 167664, 171171, 176736, 179739, 182664, 182824, 182848, 183336, 184416, 184968, 186312, 186336, 188112, 188488, 188688, 191115, 191331, 193122, 193131, 196992, 198144, 198648, 211212, 211222, 211332, 211626, 212412, 212622, 212848, 213216, 213444, 214116, 214824, 216384, 216936, 218488, 219168, 221136, 221322, 221616, 222432, 222448, 222612, 222624, 222848, 223116, 223122, 223128, 223164, 223212, 223224, 223236, 223248, 223266, 223272, 223488, 223632, 224424, 224824, 224888, 226116, 226122, 226128, 228488.

Some larger examples :