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happy n.  and  super-d n.

First numbers that belong to both sets:

19, 31, 190, 219, 310, 319, 331, 338, 469, 739, 784, 881, 931, 1067, 1188, 1281, 1481, 1487, 1512, 1581, 1752, 1769, 1847, 1881, 1900, 2019, 2181, 2190, 2331, 2369, 2471, 2475, 2478, 2571, 2581, 2818, 2881, 2919, 3019, 3031, 3100, 3190, 3231, 3239, 3269, 3310, 3317, 3319, 3321, 3323, 3328, 3329, 3331, 3332, 3338, 3346, 3351, 3355, 3356, 3364, 3365, 3367, 3371, 3376, 3380, 3382, 3383, 3391, 3531, 3731, 3869, 3931, 4069, 4181, 4285, 4471, 4481, 4527, 4554, 4690, 4781, 4807, 5036, 5111, 5112, 5127, 5181, 5247, 5281, 5331, 5454, 5471, 5517, 5533, 5558, 5569, 5715, 5781, 5919, 6404, 6528, 6566, 6631, 6719, 6791, 6989, 7152, 7169, 7331, 7390, 7481, 7524, 7581, 7619, 7721, 7814, 7815, 7824, 7839, 7840, 7841, 7842, 7848, 7869, 8081, 8181, 8281, 8369, 8471, 8488, 8526, 8724, 8769, 8787, 8810, 8877, 8881, 8969, 9007, 9012, 9031, 9219, 9310, 9326, 9331, 9519, 9617, 9623, 9869, 9873, 9968, 10033, 10257, 10281, 10481, 10511, 10512, 10518, 10521, 10527, 10528, 10533, 10547, 10557, 10572, 10574, 10575, 10578, 10581, 10582, 10587, 10599, 10607, 10636, 10663, 10666, 10670, 10679, 10697, 10706, 10717, 10769, 10881, 11131, 11145, 11181, 11377, 11419, 11431, 11451, 11471, 11512, 11519, 11559, 11681, 11719, 11880, 11942, 12081, 12088, 12114, 12129, 12219, 12231, 12381, 12419, 12431, 12481, 12627, 12699, 12704, 12705, 12707, 12810, 12831, 12969, 13035, 13233, 13281, 13428, 13481, 13581, 13769, 13824, 13825, 13881, 13969, 14081, 14119, 14131, 14176, 14182, 14219, 14231, 14281, 14357, 14374, 14381, 14526, 14537, 14546, 14564, 14652, 14702, 14810, 14821, 14831, 14870, 14873, 15081, 15119, 15120, 15268, 15318, 15381, 15426, 15519, 15688, 15769, 15807, 15810, 15831, 15878, 15944, 16097, 16145, 16181, 16255, 16282, 16441, 16471, 16588, 16669, 16741, 16769, 16967, 16989, 17069, 17119, 17354.

Some larger examples :