Search a number
-
+
243639252 = 22347310301
BaseRepresentation
bin11101000010110…
…10001111010100
3121222110011020000
432201122033110
5444332424002
640102011300
76015620343
oct1641321724
9558404200
10243639252
1111558985a
1269716b30
133b62644c
1424501b5a
15165c961c
hexe85a3d4

243639252 has 60 divisors (see below), whose sum is σ = 645708756. Its totient is φ = 80092800.

The previous prime is 243639217. The next prime is 243639271. The reversal of 243639252 is 252936342.

It is a happy number.

243639252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 196112016 + 47527236 = 14004^2 + 6894^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18502 + ... + 28802.

Almost surely, 2243639252 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 243639252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322854378).

243639252 is an abundant number, since it is smaller than the sum of its proper divisors (402069504).

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

243639252 is a wasteful number, since it uses less digits than its factorization.

243639252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10390 (or 10379 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 243639252 is about 15608.9478184790. The cubic root of 243639252 is about 624.5718684991.

The spelling of 243639252 in words is "two hundred forty-three million, six hundred thirty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 5913 7884 10301 11826 20602 23652 30903 41204 61806 92709 123612 185418 278127 370836 556254 751973 834381 1112508 1503946 1668762 2255919 3007892 3337524 4511838 6767757 9023676 13535514 20303271 27071028 40606542 60909813 81213084 121819626 243639252