Base | Representation |
---|---|
bin | 1000001000100… |
… | …0011000000000 |
3 | 2101012010021100 |
4 | 2002020120000 |
5 | 32213104044 |
6 | 3215054400 |
7 | 562645611 |
oct | 202103000 |
9 | 71163240 |
10 | 34113024 |
11 | 1828a690 |
12 | b511400 |
13 | 70b512a |
14 | 475dc08 |
15 | 2edc869 |
hex | 2088600 |
34113024 has 120 divisors (see below), whose sum is σ = 107562312. Its totient is φ = 10321920.
The previous prime is 34113007. The next prime is 34113029. The reversal of 34113024 is 42031143.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 34112988 and 34113006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34113029) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50352 + ... + 51024.
Almost surely, 234113024 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 34113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53781156).
34113024 is an abundant number, since it is smaller than the sum of its proper divisors (73449288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34113024 is a wasteful number, since it uses less digits than its factorization.
34113024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 708 (or 689 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 34113024 is about 5840.6355818524. The cubic root of 34113024 is about 324.3197574852.
Adding to 34113024 its reverse (42031143), we get a palindrome (76144167).
The spelling of 34113024 in words is "thirty-four million, one hundred thirteen thousand, twenty-four".
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