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34342330120 = 23572294314051
BaseRepresentation
bin11111111110111101…
…100101111100001000
310021122101011010110121
4133332331211330020
51030313114030440
623435431153024
72324014663300
oct377675457410
9107571133417
1034342330120
1113623393a0a
1267a5215774
133313bb58c7
14193b030600
15d5ee7034a
hex7fef65f08

34342330120 has 192 divisors, whose sum is σ = 95154523200. Its totient is φ = 11103321600.

The previous prime is 34342330109. The next prime is 34342330123. The reversal of 34342330120 is 2103324343.

It is not an unprimeable number, because it can be changed into a prime (34342330123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2437095 + ... + 2451145.

It is an arithmetic number, because the mean of its divisors is an integer number (495596475).

Almost surely, 234342330120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34342330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47577261600).

34342330120 is an abundant number, since it is smaller than the sum of its proper divisors (60812193080).

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

34342330120 is a wasteful number, since it uses less digits than its factorization.

34342330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14148 (or 14137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 34342330120 its reverse (2103324343), we get a palindrome (36445654463).

The spelling of 34342330120 in words is "thirty-four billion, three hundred forty-two million, three hundred thirty thousand, one hundred twenty".