First numbers that belong to both sets:
243,
343,
1024,
1701,
2401,
3721,
4374,
7203,
10000,
10112,
10201,
10240,
10443,
11421,
20000,
20224,
21141,
22201,
24010,
40000,
41472,
43011,
72171,
73441,
100000,
101120,
102303,
102400,
103173,
103243,
103247,
104704,
110224,
110473,
111104,
111747,
112000,
112023,
114242,
114244,
117077,
120000,
120127,
120320,
120771,
121014,
121203,
121344,
121743,
122317,
122472,
123201,
124173,
127744,
140000,
140211,
142477,
142721,
143717,
144342,
144403,
144722,
147712,
170343,
170471,
170723,
172773,
173312,
174243,
174717,
177147,
177241,
200000,
200704,
201341,
201447,
201472,
202240,
207104,
211712,
212224,
212317,
212341,
214273,
220323,
220401,
221373,
223074,
223317,
224000,
227072,
240000,
240443,
242271,
247303,
271441,
272473,
273371,
277207,
300000,
301077,
301401,
303104,
304241,
307712,
311040,
311101,
312473,
314171,
314411,
320000,
322102,
322373,
323072,
327321,
327701,
340443,
340707,
372224,
377177,
400000,
400221,
403202,
410427,
417074,
417717,
423424,
441007,
442223,
442307,
443111,
473344,
477042,
700000,
702027,
703423,
722402,
722701,
723243,
743311,
747003,
771147,
772011,
773122,
777243.