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Search a number
amenable n.  and  balanced n.

First numbers that belong to both sets:

9, 12, 21, 37, 41, 44, 49, 52, 56, 108, 120, 141, 149, 153, 156, 165, 169, 172, 177, 180, 184, 197, 201, 204, 209, 212, 216, 225, 228, 232, 240, 260, 268, 304, 308, 312, 316, 332, 344, 348, 380, 384, 396, 412, 416, 420, 424, 460, 468, 500, 508, 520, 524, 528, 532, 541, 544, 552, 557, 565, 569, 572, 588, 589, 596, 597, 600, 601, 604, 612, 613, 617, 620, 624, 625, 628, 632, 652, 653, 660, 661, 665, 668, 676, 677, 681, 684, 689, 692, 696, 709, 713, 716, 721, 724, 728, 737, 740, 744, 752, 781, 789, 793, 796, 805, 809, 812, 817, 820, 824, 837, 841, 844, 849, 852, 856, 865, 868, 872, 880, 901, 905, 908, 913, 916, 920, 929, 932, 936, 944, 961, 964, 968, 976, 992, 2109, 2141, 2157, 2165, 2169, 2172, 2205, 2221, 2229, 2233, 2236, 2253, 2261, 2265, 2268, 2277, 2281, 2284, 2289, 2292, 2296, 2333, 2349, 2357, 2361, 2364, 2381, 2389, 2393, 2396, 2405, 2409, 2412, 2417, 2420, 2424, 2445, 2453, 2457, 2460, 2469, 2473, 2476, 2481, 2484, 2488, 2501, 2505, 2508, 2513, 2516, 2520, 2529, 2532, 2536, 2544, 2589, 2605, 2613, 2617, 2620, 2637, 2645, 2649, 2652, 2661, 2665, 2668, 2673, 2676, 2680, 2701, 2709, 2713, 2716, 2725, 2729, 2732, 2737, 2740, 2744, 2757, 2761, 2764, 2769, 2772, 2776, 2785, 2788, 2792, 2800, 2829, 2837, 2841, 2844, 2853, 2857, 2860, 2865, 2868, 2872, 2885, 2889, 2892, 2897, 2900, 2904, 2913, 2916, 2920, 2928, 2949, 2953, 2956, 2961, 2964, 2968, 2977, 2980, 2984, 2992, 3009, 3012, 3016, 3024, 3040, 3101, 3117, 3125, 3129, 3132, 3149, 3157, 3161, 3164, 3173, 3177, 3180, 3185, 3188, 3192, 3213, 3221, 3225, 3228.

Some larger examples :