| Base | Representation |
|---|---|
| bin | 101011011100… |
| … | …010111100000 |
| 3 | 210102120221000 |
| 4 | 223130113200 |
| 5 | 10403412014 |
| 6 | 1044032000 |
| 7 | 165541200 |
| oct | 53342740 |
| 9 | 23376830 |
| 10 | 11388384 |
| 11 | 6479297 |
| 12 | 3992600 |
| 13 | 24897b7 |
| 14 | 1726400 |
| 15 | eee509 |
| hex | adc5e0 |
11388384 has 144 divisors (see below), whose sum is σ = 38782800. Its totient is φ = 3241728.
The previous prime is 11388379. The next prime is 11388389. The reversal of 11388384 is 48388311.
11388384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (11388379) and next prime (11388389).
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 (36).
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 (11388389) 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, 42202 + ... + 42470.
It is an arithmetic number, because the mean of its divisors is an integer number (269325).
Almost surely, 211388384 is an apocalyptic number.
11388384 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 11388384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391400).
11388384 is an abundant number, since it is smaller than the sum of its proper divisors (27394416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11388384 is a wasteful number, since it uses less digits than its factorization.
11388384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 302 (or 281 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 11388384 is about 3374.6679836689. The cubic root of 11388384 is about 224.9852434767.
The spelling of 11388384 in words is "eleven million, three hundred eighty-eight thousand, three hundred eighty-four".
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