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243256068 = 223311832467
BaseRepresentation
bin11100111111111…
…00101100000100
3121221201200121000
432133330230010
5444233143233
640045453300
76012433236
oct1637745404
9557650530
10243256068
11115347980
1269571230
133b520c03
1424442256
1516550d13
hexe7fcb04

243256068 has 96 divisors (see below), whose sum is σ = 696568320. Its totient is φ = 72796320.

The previous prime is 243256051. The next prime is 243256081. The reversal of 243256068 is 860652342.

243256068 is a `hidden beast` number, since 2 + 4 + 32 + 560 + 68 = 666.

243256068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97371 + ... + 99837.

It is an arithmetic number, because the mean of its divisors is an integer number (7255920).

Almost surely, 2243256068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243256068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348284160).

243256068 is an abundant number, since it is smaller than the sum of its proper divisors (453312252).

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

243256068 is a wasteful number, since it uses less digits than its factorization.

243256068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 243256068 is about 15596.6684904181. The cubic root of 243256068 is about 624.2442645773.

The spelling of 243256068 in words is "two hundred forty-three million, two hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 83 99 108 132 166 198 249 297 332 396 498 594 747 913 996 1188 1494 1826 2241 2467 2739 2988 3652 4482 4934 5478 7401 8217 8964 9868 10956 14802 16434 22203 24651 27137 29604 32868 44406 49302 54274 66609 81411 88812 98604 108548 133218 162822 204761 244233 266436 325644 409522 488466 614283 732699 819044 976932 1228566 1465398 1842849 2252371 2457132 2930796 3685698 4504742 5528547 6757113 7371396 9009484 11057094 13514226 20271339 22114188 27028452 40542678 60814017 81085356 121628034 243256068