Base | Representation |
---|---|
bin | 1000001000010… |
… | …1111011101100 |
3 | 2101011121112211 |
4 | 2002011323230 |
5 | 32212244040 |
6 | 3214540204 |
7 | 562604500 |
oct | 202057354 |
9 | 71147484 |
10 | 34103020 |
11 | 18283116 |
12 | b507664 |
13 | 70b0703 |
14 | 475a300 |
15 | 2ed98ea |
hex | 2085eec |
34103020 has 144 divisors (see below), whose sum is σ = 93078720. Its totient is φ = 10407936.
The previous prime is 34102993. The next prime is 34103039. The reversal of 34103020 is 2030143.
It is a super-3 number, since 3×341030203 (a number of 24 digits) contains 333 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383136 + ... + 383224.
It is an arithmetic number, because the mean of its divisors is an integer number (646380).
Almost surely, 234103020 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 34103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46539360).
34103020 is an abundant number, since it is smaller than the sum of its proper divisors (58975700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34103020 is a wasteful number, since it uses less digits than its factorization.
34103020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 152 (or 143 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 34103020 is about 5839.7791054114. The cubic root of 34103020 is about 324.2880510021.
Adding to 34103020 its reverse (2030143), we get a palindrome (36133163).
The spelling of 34103020 in words is "thirty-four million, one hundred three thousand, twenty".
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