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34341133230 = 23255323993001
BaseRepresentation
bin11111111110111001…
…000001101110101110
310021122021220022122100
4133332321001232232
51030312312230410
623435345355530
72324001546645
oct377671015656
9107567808570
1034341133230
1113622746748
1267a4938ba6
133313886ba1
14193abdc35c
15d5ecd58c0
hex7fee41bae

34341133230 has 96 divisors (see below), whose sum is σ = 91039852800. Its totient is φ = 8978112000.

The previous prime is 34341133207. The next prime is 34341133241. The reversal of 34341133230 is 3233114343.

It is a super-3 number, since 3×343411332303 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34341133194 and 34341133203.

It is a congruent number.

It is an unprimeable number.

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, 11441730 + ... + 11444730.

It is an arithmetic number, because the mean of its divisors is an integer number (948331800).

Almost surely, 234341133230 is an apocalyptic number.

34341133230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34341133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45519926400).

34341133230 is an abundant number, since it is smaller than the sum of its proper divisors (56698719570).

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

34341133230 is a wasteful number, since it uses less digits than its factorization.

34341133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5463 counting only the distinct ones).

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

Adding to 34341133230 its reverse (3233114343), we get a palindrome (37574247573).

It can be divided in two parts, 3434113 and 3230, that added together give a palindrome (3437343).

The spelling of 34341133230 in words is "thirty-four billion, three hundred forty-one million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 2399 3001 4770 4798 6002 7197 9003 11995 14394 15005 18006 21591 23990 27009 30010 35985 43182 45015 54018 71970 90030 107955 127147 135045 159053 215910 254294 270090 318106 381441 477159 635735 762882 795265 954318 1144323 1271470 1431477 1590530 1907205 2288646 2385795 2862954 3814410 4771590 5721615 7157385 7199399 11443230 14314770 14398798 21598197 35996995 43196394 64794591 71993990 107990985 129589182 215981970 323972955 381568147 647945910 763136294 1144704441 1907840735 2289408882 3434113323 3815681470 5723522205 6868226646 11447044410 17170566615 34341133230