Base | Representation |
---|---|
bin | 1000001010101… |
… | …0110111110100 |
3 | 2101110022002200 |
4 | 2002222313310 |
5 | 32232114244 |
6 | 3222104500 |
7 | 564104556 |
oct | 202526764 |
9 | 71408080 |
10 | 34254324 |
11 | 18376865 |
12 | b57b130 |
13 | 7134540 |
14 | 47994d6 |
15 | 3019669 |
hex | 20aadf4 |
34254324 has 72 divisors (see below), whose sum is σ = 95076072. Its totient is φ = 10333440.
The previous prime is 34254299. The next prime is 34254329. The reversal of 34254324 is 42345243.
34254324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 31472100 = 1668^2 + 5610^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34254329) 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 23 ways as a sum of consecutive naturals, for example, 24114 + ... + 25494.
It is an arithmetic number, because the mean of its divisors is an integer number (1320501).
Almost surely, 234254324 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 34254324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47538036).
34254324 is an abundant number, since it is smaller than the sum of its proper divisors (60821748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34254324 is a wasteful number, since it uses less digits than its factorization.
34254324 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1457 (or 1452 counting only the distinct ones).
The product of its digits is 11520, while the sum is 27.
The square root of 34254324 is about 5852.7193679520. The cubic root of 34254324 is about 324.7669303329.
Adding to 34254324 its reverse (42345243), we get a palindrome (76599567).
The spelling of 34254324 in words is "thirty-four million, two hundred fifty-four thousand, three hundred twenty-four".
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