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34105136 = 2413237129
BaseRepresentation
bin1000001000011…
…0011100110000
32101011201110012
42002012130300
532212331021
63214554052
7562613612
oct202063460
971151405
1034105136
111828476a
12b508928
1370b1670
14475adb2
152eda35b
hex2086730

34105136 has 40 divisors (see below), whose sum is σ = 74266080. Its totient is φ = 15054336.

The previous prime is 34105117. The next prime is 34105139. The reversal of 34105136 is 63150143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (34105139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1220 + ... + 8348.

It is an arithmetic number, because the mean of its divisors is an integer number (1856652).

Almost surely, 234105136 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 34105136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37133040).

34105136 is an abundant number, since it is smaller than the sum of its proper divisors (40160944).

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

34105136 is a wasteful number, since it uses less digits than its factorization.

34105136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7173 (or 7167 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 34105136 is about 5839.9602738375. The cubic root of 34105136 is about 324.2947579283.

Adding to 34105136 its reverse (63150143), we get a palindrome (97255279).

The spelling of 34105136 in words is "thirty-four million, one hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 4784 7129 14258 28516 57032 92677 114064 163967 185354 327934 370708 655868 741416 1311736 1482832 2131571 2623472 4263142 8526284 17052568 34105136