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242583714 = 233231731129
BaseRepresentation
bin11100111010110…
…00100010100010
3121220110112022000
432131120202202
5444100134324
640023224430
76003633102
oct1635304242
9556415260
10242583714
11114a2880a
12692a8116
133b346b79
1424309202
151646b9c9
hexe7588a2

242583714 has 64 divisors (see below), whose sum is σ = 566265600. Its totient is φ = 76830336.

The previous prime is 242583713. The next prime is 242583739. The reversal of 242583714 is 417385242.

It is a happy number.

242583714 is a `hidden beast` number, since 2 + 4 + 2 + 583 + 71 + 4 = 666.

242583714 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242583713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214302 + ... + 215430.

It is an arithmetic number, because the mean of its divisors is an integer number (8847900).

Almost surely, 2242583714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242583714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283132800).

242583714 is an abundant number, since it is smaller than the sum of its proper divisors (323681886).

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

242583714 is a wasteful number, since it uses less digits than its factorization.

242583714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 242583714 is about 15575.0991650134. The cubic root of 242583714 is about 623.6686017666.

It can be divided in two parts, 24258 and 3714, that added together give a palindrome (27972).

The spelling of 242583714 in words is "two hundred forty-two million, five hundred eighty-three thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 173 207 346 414 519 621 1038 1129 1242 1557 2258 3114 3387 3979 4671 6774 7958 9342 10161 11937 20322 23874 25967 30483 35811 51934 60966 71622 77901 107433 155802 195317 214866 233703 390634 467406 585951 701109 1171902 1402218 1757853 3515706 4492291 5273559 8984582 10547118 13476873 26953746 40430619 80861238 121291857 242583714