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242234332340 = 2257111326994483
BaseRepresentation
bin1110000110011001001…
…0101001010010110100
3212011020201122001202112
43201212102221102310
512432043442113330
6303140402230152
723333535565160
oct3414622512264
9764221561675
10242234332340
1193804a691a0
123ab43955358
1319ac5263c80
14ba1d305ca0
15647b1aa795
hex38664a94b4

242234332340 has 192 divisors, whose sum is σ = 683404646400. Its totient is φ = 69652431360.

The previous prime is 242234332303. The next prime is 242234332343. The reversal of 242234332340 is 43233432242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242234332297 and 242234332306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242234332343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54031739 + ... + 54036221.

It is an arithmetic number, because the mean of its divisors is an integer number (3559399200).

Almost surely, 2242234332340 is an apocalyptic number.

242234332340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242234332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341702323200).

242234332340 is an abundant number, since it is smaller than the sum of its proper divisors (441170314060).

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

242234332340 is a wasteful number, since it uses less digits than its factorization.

242234332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 242234332340 its reverse (43233432242), we get a palindrome (285467764582).

The spelling of 242234332340 in words is "two hundred forty-two billion, two hundred thirty-four million, three hundred thirty-two thousand, three hundred forty".