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243268008 = 233291931811
BaseRepresentation
bin11100111111111…
…11100110101000
3121221202021222020
432133333212220
5444234034013
640050024440
76012513114
oct1637774650
9557667866
10243268008
11115355945
1269578120
133b526489
1424446744
1516554623
hexe7ff9a8

243268008 has 64 divisors (see below), whose sum is σ = 632750400. Its totient is φ = 77844480.

The previous prime is 243267991. The next prime is 243268009. The reversal of 243268008 is 800862342.

It is a self number, because there is not a number n which added to its sum of digits gives 243268008.

It is not an unprimeable number, because it can be changed into a prime (243268009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133423 + ... + 135233.

It is an arithmetic number, because the mean of its divisors is an integer number (9886725).

Almost surely, 2243268008 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 243268008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316375200).

243268008 is an abundant number, since it is smaller than the sum of its proper divisors (389482392).

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

243268008 is a wasteful number, since it uses less digits than its factorization.

243268008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 243268008 is about 15597.0512597734. The cubic root of 243268008 is about 624.2544778951.

The spelling of 243268008 in words is "two hundred forty-three million, two hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 193 232 348 386 579 696 772 1158 1544 1811 2316 3622 4632 5433 5597 7244 10866 11194 14488 16791 21732 22388 33582 43464 44776 52519 67164 105038 134328 157557 210076 315114 349523 420152 630228 699046 1048569 1260456 1398092 2097138 2796184 4194276 8388552 10136167 20272334 30408501 40544668 60817002 81089336 121634004 243268008