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34141116 = 2235353681
BaseRepresentation
bin1000001000111…
…1001110111100
32101020112210210
42002033032330
532220003431
63215432420
7563123532
oct202171674
971215723
1034141116
11182a97a9
12b525710
1370c4b59
14476a152
152ee5d46
hex208f3bc

34141116 has 24 divisors (see below), whose sum is σ = 81167184. Its totient is φ = 11165440.

The previous prime is 34141111. The next prime is 34141127. The reversal of 34141116 is 61114143.

34141116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34141092 and 34141101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141111) 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 7 ways as a sum of consecutive naturals, for example, 26205 + ... + 27476.

It is an arithmetic number, because the mean of its divisors is an integer number (3381966).

Almost surely, 234141116 is an apocalyptic number.

It is an amenable number.

34141116 is an abundant number, since it is smaller than the sum of its proper divisors (47026068).

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

34141116 is a wasteful number, since it uses less digits than its factorization.

34141116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53741 (or 53739 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 34141116 is about 5843.0399622115. The cubic root of 34141116 is about 324.4087585939.

Adding to 34141116 its reverse (61114143), we get a palindrome (95255259).

The spelling of 34141116 in words is "thirty-four million, one hundred forty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 53681 107362 161043 214724 322086 644172 2845093 5690186 8535279 11380372 17070558 34141116