Base | Representation |
---|---|
bin | 100010011101… |
… | …101000100000 |
3 | 121222222200200 |
4 | 202131220200 |
5 | 4303044042 |
6 | 521345200 |
7 | 136534662 |
oct | 42355040 |
9 | 17888620 |
10 | 9034272 |
11 | 5110645 |
12 | 3038200 |
13 | 1b44130 |
14 | 12b2532 |
15 | bd6c4c |
hex | 89da20 |
9034272 has 144 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 2612736.
The previous prime is 9034271. The next prime is 9034273. The reversal of 9034272 is 2724309.
It is an interprime number because it is at equal distance from previous prime (9034271) and next prime (9034273).
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (9034271) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71073 + ... + 71199.
It is an arithmetic number, because the mean of its divisors is an integer number (203840).
Almost surely, 29034272 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 9034272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).
9034272 is an abundant number, since it is smaller than the sum of its proper divisors (20318688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9034272 is a wasteful number, since it uses less digits than its factorization.
9034272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 175 (or 164 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 9034272 is about 3005.7065725050. The cubic root of 9034272 is about 208.2720798411.
The spelling of 9034272 in words is "nine million, thirty-four thousand, two hundred seventy-two".
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