Search a number
-
+
243344860 = 225116118133
BaseRepresentation
bin11101000000100…
…10010111011100
3121221220012101121
432200102113130
5444244013420
640051420324
76013253143
oct1640222734
9557805347
10243344860
111153a8660
12695b46a4
133b552455
142446675a
151656c2aa
hexe8125dc

243344860 has 48 divisors (see below), whose sum is σ = 566651232. Its totient is φ = 87033600.

The previous prime is 243344833. The next prime is 243344867. The reversal of 243344860 is 68443342.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243344867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4354 + ... + 22486.

It is an arithmetic number, because the mean of its divisors is an integer number (11805234).

Almost surely, 2243344860 is an apocalyptic number.

243344860 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 243344860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283325616).

243344860 is an abundant number, since it is smaller than the sum of its proper divisors (323306372).

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

243344860 is a wasteful number, since it uses less digits than its factorization.

243344860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18214 (or 18212 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 243344860 is about 15599.5147360423. The cubic root of 243344860 is about 624.3202080808.

The spelling of 243344860 in words is "two hundred forty-three million, three hundred forty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 13420 18133 36266 72532 90665 181330 199463 362660 398926 797852 997315 1106113 1994630 2212226 3989260 4424452 5530565 11061130 12167243 22122260 24334486 48668972 60836215 121672430 243344860