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242444334 = 231123592707
BaseRepresentation
bin11100111001101…
…10100000101110
3121220012110002210
432130312200232
5444031204314
640020231250
76002512536
oct1634664056
9556173083
10242444334
11114943020
126923b526
133b2c85b2
14242b04c6
1516440559
hexe73682e

242444334 has 64 divisors (see below), whose sum is σ = 561530880. Its totient is φ = 69057120.

The previous prime is 242444333. The next prime is 242444359. The reversal of 242444334 is 433444242.

242444334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242444333) 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, 88209 + ... + 90915.

It is an arithmetic number, because the mean of its divisors is an integer number (8773920).

Almost surely, 2242444334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242444334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280765440).

242444334 is an abundant number, since it is smaller than the sum of its proper divisors (319086546).

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

242444334 is a wasteful number, since it uses less digits than its factorization.

242444334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805.

The product of its digits is 36864, while the sum is 30.

The square root of 242444334 is about 15570.6240722715. The cubic root of 242444334 is about 623.5491329284.

Adding to 242444334 its reverse (433444242), we get a palindrome (675888576).

The spelling of 242444334 in words is "two hundred forty-two million, four hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 59 66 69 118 138 177 253 354 506 649 759 1298 1357 1518 1947 2707 2714 3894 4071 5414 8121 8142 14927 16242 29777 29854 44781 59554 62261 89331 89562 124522 159713 178662 186783 319426 373566 479139 684871 958278 1369742 1756843 2054613 3513686 3673399 4109226 5270529 7346798 10541058 11020197 22040394 40407389 80814778 121222167 242444334