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admirable n.  and  super-d n.

First numbers that belong to both sets:

318, 1036, 3342, 3378, 4314, 4638, 4854, 5348, 6294, 6412, 6414, 7086, 7818, 7842, 10518, 10554, 10612, 10662, 10698, 10722, 11452, 13458, 14538, 14682, 15186, 15558, 15988, 16156, 16158, 16314, 19002, 21234, 22182, 22314, 22316, 22614, 22652, 22674, 22818, 23262, 24078, 24306, 24546, 24724, 24762, 24774, 24798, 25698, 26145, 26346, 26778, 27498, 27916, 28035, 28038, 28338, 28868, 30678, 31002, 31026, 32646, 32862, 33186, 33232, 33236, 33342, 33378, 33404, 33414, 33438, 33486, 33546, 33628, 33738, 33834, 33846, 33882, 33906, 34076, 34636, 34806, 36208, 36546, 36988, 37182, 38058, 38444, 40134, 40146, 40758, 40818, 42726, 42954, 43158, 43314, 43372, 44994, 45438, 46218, 47046, 48066, 48102, 50036, 50802, 51006, 51126, 52062, 52818, 52926, 53022, 53396, 54546, 54966, 55804, 56226, 57198, 57932, 59574, 60508, 60558, 61734, 62394, 64122, 64146, 64652, 65454, 66282, 66556, 67026, 67182, 67902, 67926, 71562, 73974, 74238, 74874, 74922, 75318, 75462, 75572, 76326, 77046, 78148, 78198, 78222, 78258, 78294, 78316, 78378, 79854, 80382, 81081, 81318, 82074, 82086, 82182, 82832, 84342, 84918, 85036, 85038, 85506, 85708, 86082, 87258, 88098, 88386, 89682, 90076, 90078, 90318, 91794, 91986, 92766, 92802, 93066, 93894, 96546, 98034, 98048, 98812, 99652, 99714, 99894, 100554, 101298, 101418, 101778, 102462, 102954, 103242, 103254, 103542, 103628, 103926, 104406, 104898, 104934, 104946, 104982, 105054, 105114, 105234, 105306, 105308, 105414, 105438, 105474, 105476, 105486, 105532, 105582, 105594, 105654, 105664, 105738, 105762, 105812, 105942, 105954, 106014, 106086, 106098, 106204, 106242, 106278, 106316, 106374, 106422, 106482, 106484, 106494, 106566, 106698, 106734, 106746, 106842, 106962, 106988, 107022, 107034, 107044, 107106, 107178, 107754, 107862, 109542, 109732, 110046, 110068, 112028, 112314, 112386, 112818, 113214, 113428, 114006, 114772, 115386, 115612, 115806, 116238, 116452, 116538, 116682, 117354, 118434, 118804, 118806, 119118, 119838, 120882, 122046, 125524, 126894, 126942, 126978, 127014, 127074, 127146.

Some larger examples :