Search a number
-
+
243415332 = 22326761537
BaseRepresentation
bin11101000001000…
…11100100100100
3121222000210001200
432200203210210
5444303242312
640053122500
76013665456
oct1640434444
9558023050
10243415332
111154465a6
1269629430
133b578554
14244842d6
15165830dc
hexe823924

243415332 has 18 divisors (see below), whose sum is σ = 615299958. Its totient is φ = 81138432.

The previous prime is 243415331. The next prime is 243415339. The reversal of 243415332 is 233514342.

243415332 is a `hidden beast` number, since 243 + 415 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 184525056 + 58890276 = 13584^2 + 7674^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 243415296 and 243415305.

It is not an unprimeable number, because it can be changed into a prime (243415331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3380733 + ... + 3380804.

It is an arithmetic number, because the mean of its divisors is an integer number (34183331).

Almost surely, 2243415332 is an apocalyptic number.

It is an amenable number.

243415332 is an abundant number, since it is smaller than the sum of its proper divisors (371884626).

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

243415332 is a wasteful number, since it uses less digits than its factorization.

243415332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761547 (or 6761542 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 243415332 is about 15601.7733607433. The cubic root of 243415332 is about 624.3804694005.

Adding to 243415332 its reverse (233514342), we get a palindrome (476929674).

It can be divided in two parts, 2434 and 15332, that added together give a triangular number (17766 = T188).

The spelling of 243415332 in words is "two hundred forty-three million, four hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6761537 13523074 20284611 27046148 40569222 60853833 81138444 121707666 243415332