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nude n.  and  Zumkeller n.

First numbers that belong to both sets:

6, 12, 24, 48, 66, 88, 112, 126, 132, 168, 216, 222, 224, 264, 312, 336, 366, 384, 396, 432, 444, 448, 612, 624, 636, 666, 672, 728, 816, 864, 888, 936, 1116, 1122, 1128, 1144, 1164, 1176, 1184, 1212, 1224, 1236, 1248, 1266, 1288, 1326, 1332, 1344, 1362, 1368, 1416, 1464, 1488, 1575, 1626, 1632, 1644, 1662, 1692, 1722, 1824, 1848, 1888, 1944, 2112, 2124, 2128, 2136, 2166, 2184, 2196, 2212, 2226, 2232, 2244, 2262, 2288, 2316, 2322, 2328, 2364, 2412, 2424, 2436, 2448, 2616, 2622, 2664, 2688, 2744, 2772, 2832, 3126, 3132, 3144, 3162, 3168, 3216, 3264, 3276, 3288, 3312, 3324, 3336, 3366, 3384, 3432, 3444, 3612, 3624, 3648, 3666, 3816, 3864, 3888, 3996, 4116, 4128, 4144, 4164, 4172, 4212, 4224, 4236, 4248, 4288, 4332, 4344, 4368, 4392, 4416, 4424, 4464, 4488, 4632, 4644, 4824, 4848, 4872, 4888, 4896, 4968, 5355, 5775, 6126, 6132, 6144, 6162, 6168, 6192, 6216, 6222, 6264, 6288, 6312, 6324, 6336, 6366, 6384, 6432, 6612, 6624, 6636, 6648, 6666, 6696, 6762, 6816, 6864, 6888, 6912, 6966, 6984, 7112, 7224, 7266, 7448, 7476, 7644, 7728, 7784, 8112, 8128, 8136, 8184, 8232, 8288, 8328, 8424, 8448, 8496, 8616, 8664, 8688, 8736, 8832, 8848, 8888, 8928, 9126, 9135, 9144, 9288, 9324, 9396, 9432, 9612, 9648, 9666, 9864, 9936, 11112, 11124, 11128, 11136, 11144, 11166, 11172, 11184, 11226, 11232, 11244, 11248, 11262, 11288, 11316, 11322, 11328, 11364, 11424, 11436, 11448, 11616, 11622, 11676, 11688, 11832, 11872, 12124, 12126, 12144, 12162, 12216, 12222, 12264, 12288, 12312, 12324, 12336, 12366, 12384, 12432, 12444, 12488, 12612, 12624, 12636, 12648, 12666, 12712, 12726, 12768, 12816, 12824, 12848, 12864, 12888, 13116, 13128, 13164, 13224, 13236, 13248, 13266, 13272, 13326, 13332, 13344, 13362, 13368.

Some larger examples :