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1024340220 = 2232567157541
BaseRepresentation
bin111101000011100…
…011000011111100
32122101110212121200
4331003203003330
54044212341340
6245351055500
734245514431
oct7503430374
92571425550
101024340220
11486238a72
12247071590
131342acc97
149a085b88
155eddd330
hex3d0e30fc

1024340220 has 144 divisors (see below), whose sum is σ = 3179493408. Its totient is φ = 266872320.

The previous prime is 1024340203. The next prime is 1024340237. The reversal of 1024340220 is 220434201.

1024340220 is a `hidden beast` number, since 1 + 0 + 243 + 402 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1024340203) and next prime (1024340237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1024340193 and 1024340202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1893150 + ... + 1893690.

Almost surely, 21024340220 is an apocalyptic number.

1024340220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589746704).

1024340220 is an abundant number, since it is smaller than the sum of its proper divisors (2155153188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1024340220 is a wasteful number, since it uses less digits than its factorization.

1024340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1024340220 is about 32005.3154960235. The cubic root of 1024340220 is about 1008.0484552482.

Adding to 1024340220 its reverse (220434201), we get a palindrome (1244774421).

The spelling of 1024340220 in words is "one billion, twenty-four million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 157 180 201 268 314 335 402 471 541 603 628 670 785 804 942 1005 1082 1206 1340 1413 1570 1623 1884 2010 2164 2355 2412 2705 2826 3015 3140 3246 4020 4710 4869 5410 5652 6030 6492 7065 8115 9420 9738 10519 10820 12060 14130 16230 19476 21038 24345 28260 31557 32460 36247 42076 48690 52595 63114 72494 84937 94671 97380 105190 108741 126228 144988 157785 169874 181235 189342 210380 217482 254811 315570 326223 339748 362470 378684 424685 434964 473355 509622 543705 631140 652446 724940 764433 849370 946710 1019244 1087410 1274055 1304892 1528866 1631115 1698740 1893420 2174820 2548110 3057732 3262230 3822165 5096220 5690779 6524460 7644330 11381558 15288660 17072337 22763116 28453895 34144674 51217011 56907790 68289348 85361685 102434022 113815580 170723370 204868044 256085055 341446740 512170110 1024340220