Search a number
-
+
243323136 = 2833747107
BaseRepresentation
bin11101000000011…
…01000100000000
3121221212002121000
432200031010000
5444242320021
640051132000
76013132620
oct1640150400
9557762530
10243323136
11115393301
12695a4000
133b5455b4
142445c880
1516565b26
hexe80d100

243323136 has 288 divisors, whose sum is σ = 847687680. Its totient is φ = 67405824.

The previous prime is 243323131. The next prime is 243323147. The reversal of 243323136 is 631323342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2433231362 = 118412297025748992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (243323131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273995 + ... + 2274101.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2243323136 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 243323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423843840).

243323136 is an abundant number, since it is smaller than the sum of its proper divisors (604364544).

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

243323136 is a wasteful number, since it uses less digits than its factorization.

243323136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 243323136 is about 15598.8184167904. The cubic root of 243323136 is about 624.3016293228.

Adding to 243323136 its reverse (631323342), we get a palindrome (874646478).

The spelling of 243323136 in words is "two hundred forty-three million, three hundred twenty-three thousand, one hundred thirty-six".