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243085068 = 2232231731697
BaseRepresentation
bin11100111110100…
…10111100001100
3121221102000000200
432133102330030
5444212210233
640042053500
76011121552
oct1637227414
9557360020
10243085068
11115240456
12694aa290
133b491125
14243d9bd2
151651a313
hexe7d2f0c

243085068 has 72 divisors (see below), whose sum is σ = 645267168. Its totient is φ = 77011968.

The previous prime is 243085049. The next prime is 243085093. The reversal of 243085068 is 860580342.

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 23 ways as a sum of consecutive naturals, for example, 142396 + ... + 144092.

It is an arithmetic number, because the mean of its divisors is an integer number (8962044).

Almost surely, 2243085068 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 243085068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322633584).

243085068 is an abundant number, since it is smaller than the sum of its proper divisors (402182100).

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

243085068 is a wasteful number, since it uses less digits than its factorization.

243085068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 243085068 is about 15591.1855867346. The cubic root of 243085068 is about 624.0979567618.

The spelling of 243085068 in words is "two hundred forty-three million, eighty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 173 207 276 346 414 519 692 828 1038 1557 1697 2076 3114 3394 3979 5091 6228 6788 7958 10182 11937 15273 15916 20364 23874 30546 35811 39031 47748 61092 71622 78062 117093 143244 156124 234186 293581 351279 468372 587162 702558 880743 1174324 1405116 1761486 2642229 3522972 5284458 6752363 10568916 13504726 20257089 27009452 40514178 60771267 81028356 121542534 243085068