Base | Representation |
---|---|
bin | 100101111001… |
… | …010101000000 |
3 | 200200201002021 |
4 | 211321111000 |
5 | 10020343034 |
6 | 552531224 |
7 | 150303343 |
oct | 45712500 |
9 | 20621067 |
10 | 9934144 |
11 | 5675740 |
12 | 33b0b14 |
13 | 209a8bc |
14 | 146845a |
15 | d136b4 |
hex | 979540 |
9934144 has 56 divisors (see below), whose sum is σ = 21872448. Its totient is φ = 4439040.
The previous prime is 9934129. The next prime is 9934147. The reversal of 9934144 is 4414399.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9934147) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72444 + ... + 72580.
Almost surely, 29934144 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 9934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936224).
9934144 is an abundant number, since it is smaller than the sum of its proper divisors (11938304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9934144 is a wasteful number, since it uses less digits than its factorization.
9934144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 263 (or 253 counting only the distinct ones).
The product of its digits is 15552, while the sum is 34.
The square root of 9934144 is about 3151.8477120572. The cubic root of 9934144 is about 214.9694854837.
It can be divided in two parts, 99 and 34144, that added together give a palindrome (34243).
The spelling of 9934144 in words is "nine million, nine hundred thirty-four thousand, one hundred forty-four".
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