Base | Representation |
---|---|
bin | 1000001010111… |
… | …1001111110000 |
3 | 2101111012200020 |
4 | 2002233033300 |
5 | 32233202430 |
6 | 3222323440 |
7 | 564211032 |
oct | 202571760 |
9 | 71435606 |
10 | 34272240 |
11 | 18389272 |
12 | b589580 |
13 | 713c742 |
14 | 47a1c52 |
15 | 301eb10 |
hex | 20af3f0 |
34272240 has 80 divisors (see below), whose sum is σ = 108031776. Its totient is φ = 8985600.
The previous prime is 34272239. The next prime is 34272253. The reversal of 34272240 is 4227243.
34272240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 34272240.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 13470 + ... + 15810.
Almost surely, 234272240 is an apocalyptic number.
34272240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54015888).
34272240 is an abundant number, since it is smaller than the sum of its proper divisors (73759536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34272240 is a wasteful number, since it uses less digits than its factorization.
34272240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2418 (or 2412 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 24.
The square root of 34272240 is about 5854.2497384379. The cubic root of 34272240 is about 324.8235412900.
Adding to 34272240 its reverse (4227243), we get a palindrome (38499483).
The spelling of 34272240 in words is "thirty-four million, two hundred seventy-two thousand, two hundred forty".
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