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243263640 = 233523531663
BaseRepresentation
bin11100111111111…
…10100010011000
3121221202001222110
432133332202120
5444233414030
640045552320
76012464304
oct1637764230
9557661873
10243263640
11115352634
12695756a0
133b5244a9
1424444d04
15165531b0
hexe7fe898

243263640 has 128 divisors (see below), whose sum is σ = 776355840. Its totient is φ = 60842496.

The previous prime is 243263633. The next prime is 243263653. The reversal of 243263640 is 46362342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 243263598 and 243263607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145449 + ... + 147111.

It is an arithmetic number, because the mean of its divisors is an integer number (6065280).

Almost surely, 2243263640 is an apocalyptic number.

243263640 is a gapful number since it is divisible by the number (20) 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 243263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388177920).

243263640 is an abundant number, since it is smaller than the sum of its proper divisors (533092200).

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

243263640 is a wasteful number, since it uses less digits than its factorization.

243263640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 243263640 is about 15596.9112326768. The cubic root of 243263640 is about 624.2507416046.

It can be divided in two parts, 24326 and 3640, that added together give a triangular number (27966 = T236).

The spelling of 243263640 in words is "two hundred forty-three million, two hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 53 60 69 92 106 115 120 138 159 184 212 230 265 276 318 345 424 460 530 552 636 690 795 920 1060 1219 1272 1380 1590 1663 2120 2438 2760 3180 3326 3657 4876 4989 6095 6360 6652 7314 8315 9752 9978 12190 13304 14628 16630 18285 19956 24380 24945 29256 33260 36570 38249 39912 48760 49890 66520 73140 76498 88139 99780 114747 146280 152996 176278 191245 199560 229494 264417 305992 352556 382490 440695 458988 528834 573735 705112 764980 881390 917976 1057668 1147470 1322085 1529960 1762780 2027197 2115336 2294940 2644170 3525560 4054394 4589880 5288340 6081591 8108788 10135985 10576680 12163182 16217576 20271970 24326364 30407955 40543940 48652728 60815910 81087880 121631820 243263640