Search a number
abundant n.  and  balanced n.

First numbers that belong to both sets:

12, 42, 56, 78, 108, 114, 120, 150, 156, 180, 198, 204, 210, 216, 228, 240, 260, 294, 304, 308, 312, 318, 348, 380, 384, 396, 416, 420, 426, 438, 450, 460, 462, 468, 500, 520, 528, 532, 534, 544, 550, 552, 558, 570, 572, 582, 588, 600, 612, 618, 620, 624, 630, 654, 660, 666, 678, 684, 690, 696, 714, 728, 738, 740, 744, 810, 812, 820, 852, 868, 880, 894, 906, 920, 930, 936, 954, 968, 978, 990, 992, 1014, 1110, 1190, 1398, 1470, 1758, 1830, 1914, 1986, 2022, 2070, 2142, 2154, 2166, 2170, 2172, 2205, 2226, 2262, 2268, 2292, 2296, 2334, 2358, 2364, 2382, 2394, 2406, 2412, 2418, 2420, 2424, 2430, 2454, 2460, 2470, 2484, 2502, 2508, 2514, 2520, 2530, 2532, 2538, 2544, 2586, 2590, 2620, 2646, 2652, 2676, 2680, 2716, 2730, 2740, 2744, 2766, 2772, 2778, 2790, 2800, 2826, 2835, 2838, 2844, 2860, 2868, 2886, 2892, 2898, 2900, 2904, 2910, 2916, 2920, 2928, 2964, 2968, 2980, 2992, 3010, 3012, 3016, 3024, 3040, 3102, 3126, 3132, 3150, 3162, 3164, 3174, 3180, 3186, 3192, 3222, 3228, 3250, 3252, 3256, 3270, 3276, 3282, 3288, 3300, 3304, 3312, 3342, 3354, 3366, 3372, 3378, 3380, 3384, 3402, 3410, 3416, 3426, 3432, 3440, 3462, 3465, 3468, 3474, 3480, 3492, 3496, 3504, 3522, 3528, 3536, 3552, 3606, 3612, 3636, 3640, 3654, 3660, 3666, 3668, 3672, 3684, 3696, 3724, 3732, 3752, 3760, 3780, 3784, 3792, 3808, 3846, 3850, 3852, 3858, 3860, 3864, 3876, 3880, 3888, 3906, 3912, 3920, 3936, 3972, 3976, 3984, 4000, 4032, 8382, 8415, 8430, 8442, 8600, 8620, 8622, 8634, 8682, 8766, 8780, 8814, 8826, 8840, 8862, 8886, 8890, 8892, 8910, 8922, 8934, 8940, 8946, 8952, 8980, 9006, 9018, 9020, 9066, 9080.

Some larger examples :