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Moran n.  and  Zumkeller n.

First numbers that belong to both sets:

42, 84, 114, 156, 198, 222, 228, 372, 402, 444, 516, 558, 666, 732, 804, 888, 1164, 1236, 1308, 1524, 1812, 1896, 2022, 2172, 2202, 2316, 2532, 3252, 3324, 3768, 3980, 4044, 4404, 4776, 5052, 5496, 5784, 6648, 6792, 7212, 7368, 7580, 7588, 7940, 7944, 8088, 8376, 8596, 8660, 8808, 8952, 9012, 9096, 9528, 9740, 9816, 10014, 10236, 10308, 10524, 10968, 11028, 11202, 11244, 11604, 11688, 11976, 12102, 12108, 12252, 12612, 12984, 13044, 13116, 13404, 13848, 14052, 14412, 14568, 14780, 14856, 15864, 16580, 16584, 17448, 17592, 17660, 17668, 17736, 18168, 18380, 18456, 18740, 19464, 19752, 19820, 20028, 20316, 21036, 21102, 21108, 21324, 21612, 21768, 22332, 22404, 22488, 23412, 23784, 23928, 24132, 24204, 24792, 24936, 25580, 25656, 25940, 26088, 26808, 26952, 27012, 27096, 27672, 27748, 28460, 28824, 29180, 29544, 29764, 30036, 30252, 30612, 30696, 30980, 30984, 31002, 31116, 31404, 31848, 32052, 32124, 32788, 33204, 33576, 33860, 34212, 34296, 34728, 34872, 34940, 35004, 35592, 35660, 35736, 36012, 36744, 37176, 37460, 37608, 38328, 38616, 38904, 39048, 39844, 39912, 40116, 40332, 40776, 41780, 41784, 41928, 42132, 42204, 42648, 42792, 42860, 42868, 42936, 43580, 43876, 43944, 44664, 44808, 44952, 45096, 45380, 45388, 45740, 46392, 46396, 46820, 46824, 47540, 47832, 48264, 48408, 48916, 49272, 49340, 49890, 49924, 50124, 50412, 50780, 51132, 51288, 51860, 51864, 52296, 52872, 52940, 53660, 53736, 54380, 54456, 54744, 55464, 55820, 55972, 56184, 56328, 56476, 56904, 57048, 57192, 57336, 57484, 57990, 58340, 58492, 59060, 59208, 59352, 59420, 59790, 59970, 60132, 60936, 61212, 61368, 61580, 62004, 62808, 63380, 63528, 63740, 63816, 64248, 64392, 64536, 65180, 65256, 65544, 65548, 66260, 66408, 66556, 66620, 67128, 67272, 68424, 68790, 69076, 69140, 70212, 70580, 70588, 70872, 70940, 71596, 71660, 72456, 72740, 73176, 73460, 73464, 73608, 73820, 74180, 74540.

Some larger examples :