Base | Representation |
---|---|
bin | 100011100111… |
… | …110100000000 |
3 | 122120102111000 |
4 | 203213310000 |
5 | 4342304422 |
6 | 532052000 |
7 | 142241550 |
oct | 43476400 |
9 | 18512430 |
10 | 9338112 |
11 | 52a8953 |
12 | 3164000 |
13 | 1c1c514 |
14 | 1351160 |
15 | c46cac |
hex | 8e7d00 |
9338112 has 144 divisors (see below), whose sum is σ = 31722880. Its totient is φ = 2654208.
The previous prime is 9338111. The next prime is 9338137. The reversal of 9338112 is 2118339.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9338111) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48288 + ... + 48480.
Almost surely, 29338112 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 9338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861440).
9338112 is an abundant number, since it is smaller than the sum of its proper divisors (22384768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9338112 is a wasteful number, since it uses less digits than its factorization.
9338112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 225 (or 205 counting only the distinct ones).
The product of its digits is 1296, while the sum is 27.
The square root of 9338112 is about 3055.8324561402. The cubic root of 9338112 is about 210.5812468590.
It can be divided in two parts, 933 and 8112, that added together give a triangular number (9045 = T134).
The spelling of 9338112 in words is "nine million, three hundred thirty-eight thousand, one hundred twelve".
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