Base | Representation |
---|---|
bin | 100011101000… |
… | …110011000000 |
3 | 122120122000100 |
4 | 203220303000 |
5 | 4342422034 |
6 | 532122400 |
7 | 142256400 |
oct | 43506300 |
9 | 18518010 |
10 | 9342144 |
11 | 5300989 |
12 | 3166400 |
13 | 1c212c6 |
14 | 1352800 |
15 | c48099 |
hex | 8e8cc0 |
9342144 has 126 divisors (see below), whose sum is σ = 31243524. Its totient is φ = 2661120.
The previous prime is 9342133. The next prime is 9342149. The reversal of 9342144 is 4412439.
It is a tau number, because it is divible by the number of its divisors (126).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (9342149) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28059 + ... + 28389.
Almost surely, 29342144 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 9342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621762).
9342144 is an abundant number, since it is smaller than the sum of its proper divisors (21901380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9342144 is a wasteful number, since it uses less digits than its factorization.
9342144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 363 (or 343 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 9342144 is about 3056.4921069749. The cubic root of 9342144 is about 210.6115506796.
The spelling of 9342144 in words is "nine million, three hundred forty-two thousand, one hundred forty-four".
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