Search a number
-
+
243313112 = 237171311951
BaseRepresentation
bin11101000000010…
…10100111011000
3121221211120211202
432200022213120
5444242004422
640051013332
76013061450
oct1640124730
9557746752
10243313112
11115386819
126959a248
133b540b73
1424458d60
1516562b92
hexe80a9d8

243313112 has 64 divisors (see below), whose sum is σ = 556554240. Its totient is φ = 97344000.

The previous prime is 243313093. The next prime is 243313117. The reversal of 243313112 is 211313342.

It is a super-3 number, since 3×2433131123 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243313117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123737 + ... + 125687.

It is an arithmetic number, because the mean of its divisors is an integer number (8696160).

Almost surely, 2243313112 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 243313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278277120).

243313112 is an abundant number, since it is smaller than the sum of its proper divisors (313241128).

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

243313112 is a wasteful number, since it uses less digits than its factorization.

243313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2108 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 243313112 is about 15598.4971070934. The cubic root of 243313112 is about 624.2930562437.

Adding to 243313112 its reverse (211313342), we get a palindrome (454626454).

The spelling of 243313112 in words is "two hundred forty-three million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 131 136 238 262 476 524 917 952 1048 1834 1951 2227 3668 3902 4454 7336 7804 8908 13657 15589 15608 17816 27314 31178 33167 54628 62356 66334 109256 124712 132668 232169 255581 265336 464338 511162 928676 1022324 1789067 1857352 2044648 3578134 4344877 7156268 8689754 14312536 17379508 30414139 34759016 60828278 121656556 243313112