| Base | Representation |
|---|---|
| bin | 101001111110… |
| … | …110110100000 |
| 3 | 202201010111100 |
| 4 | 221332312200 |
| 5 | 10304132334 |
| 6 | 1031514400 |
| 7 | 162354360 |
| oct | 51766640 |
| 9 | 22633440 |
| 10 | 11005344 |
| 11 | 6237529 |
| 12 | 3828a00 |
| 13 | 238434c |
| 14 | 16669a0 |
| 15 | e75c99 |
| hex | a7eda0 |
11005344 has 144 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 3055104.
The previous prime is 11005327. The next prime is 11005349. The reversal of 11005344 is 44350011.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×110053442 = 242235193116672, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (11005349) 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, 106797 + ... + 106899.
It is an arithmetic number, because the mean of its divisors is an integer number (255528).
Almost surely, 211005344 is an apocalyptic number.
11005344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016).
11005344 is an abundant number, since it is smaller than the sum of its proper divisors (25790688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11005344 is a wasteful number, since it uses less digits than its factorization.
11005344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 179 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 11005344 is about 3317.4303308434. The cubic root of 11005344 is about 222.4340182251.
Adding to 11005344 its reverse (44350011), we get a palindrome (55355355).
The spelling of 11005344 in words is "eleven million, five thousand, three hundred forty-four".
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