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nude n.  and  pronic n.

First numbers that belong to both sets:

2, 6, 12, 132, 1122, 1332, 1722, 6162, 12432, 29412, 41412, 46872, 83232, 111222, 113232, 116622, 132132, 186192, 219492, 222312, 233772, 238632, 311922, 346332, 364212, 613872, 626472, 816312, 1148112, 1184832, 1431612, 1467732, 1712172, 1733172, 2141832, 2284632, 2422692, 2777222, 2987712, 3361722, 4147332, 4361832, 4767672, 6393312, 6612612, 6674472, 7488432, 8343432, 8664192, 11112222, 11132232, 11313132, 11333322, 11617872, 11672472, 12841472, 12898872, 13224132, 13421232, 13664112, 14224212, 14466612, 14772492, 17293122, 18117792, 18177432, 19611612, 19922832, 21822912, 22434432, 22929732, 23121672, 23799762, 24122832, 24319692, 26383632, 26692722, 27128472, 27337212, 27788712, 27999972, 28392912, 29849832, 31231332, 32621232, 33831672, 34439292, 36681192, 36863112, 37167312, 38644872, 39231432, 42464772, 42621312, 43672272, 44843112, 46669392, 47727372, 49161132, 49794192, 61363722, 61834632, 62861112, 63337722, 68699232, 69164172, 69613992, 73162362, 73419192, 73762332, 76326432, 76676292, 82292112, 84336672, 84483672, 86276232, 86424912, 92227212, 94313232, 97288632, 111123222, 111439692, 116823672, 117429732, 123132312, 126371322, 127317372, 131411832, 133321662, 134362872, 134641212, 139629672, 141336432, 144276132, 146688432, 147173292, 163111212, 164262672, 166113432, 168181992, 169819992, 172436292, 174464472, 176132712, 177648912, 179332272, 183236832, 196882992, 199134432, 213262212, 214227132, 216428232, 218788472, 221667432, 222114312, 222949692, 223996122, 226698192, 227361162, 231146412, 233738232, 239893632, 241134312, 241382832, 262164672, 262326612, 263623932, 273621222, 277772222, 284377632, 298892232, 313166112, 313413912, 317142672, 321431112, 324414132, 327917772, 334469232, 336117222, 341824632, 343416492, 348326232, 361437132, 381674832, 386377992, 397743192, 411623232, 412232112, 414672132, 416629332, 418468392, 421419312, 431122932, 436329432, 437499972, 466927272, 472127712, 482614992.