Search a number
-
+
242316333 = 3371319787
BaseRepresentation
bin11100111000101…
…11010000101101
3121212221221112000
432130113100231
5444013110313
640013402513
76001440420
oct1634272055
9555857460
10242316333
11114865936
1269199439
133b28225c
14242799b7
1516417673
hexe71742d

242316333 has 32 divisors (see below), whose sum is σ = 413445120. Its totient is φ = 137395440.

The previous prime is 242316331. The next prime is 242316341. The reversal of 242316333 is 333613242.

It is a happy number.

242316333 is a `hidden beast` number, since 2 + 4 + 23 + 1 + 633 + 3 = 666.

It is not a de Polignac number, because 242316333 - 21 = 242316331 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 242316297 and 242316306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242316331) 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, 19866 + ... + 29652.

It is an arithmetic number, because the mean of its divisors is an integer number (12920160).

Almost surely, 2242316333 is an apocalyptic number.

It is an amenable number.

242316333 is a deficient number, since it is larger than the sum of its proper divisors (171128787).

242316333 is a wasteful number, since it uses less digits than its factorization.

242316333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9934 (or 9928 counting only the distinct ones).

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

The square root of 242316333 is about 15566.5131933905. The cubic root of 242316333 is about 623.4393772005.

Adding to 242316333 its reverse (333613242), we get a palindrome (575929575).

The spelling of 242316333 in words is "two hundred forty-two million, three hundred sixteen thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 131 189 393 917 1179 2751 3537 8253 9787 24759 29361 68509 88083 205527 264249 616581 1282097 1849743 3846291 8974679 11538873 26924037 34616619 80772111 242316333