Base | Representation |
---|---|
bin | 101111100111… |
… | …001101000000 |
3 | 212111010012000 |
4 | 233213031000 |
5 | 11143400334 |
6 | 1123304000 |
7 | 211042521 |
oct | 57471500 |
9 | 25433160 |
10 | 12481344 |
11 | 7055467 |
12 | 421b000 |
13 | 2780115 |
14 | 192c848 |
15 | 1168299 |
hex | be7340 |
12481344 has 112 divisors (see below), whose sum is σ = 38039040. Its totient is φ = 4008960.
The previous prime is 12481333. The next prime is 12481351. The reversal of 12481344 is 44318421.
12481344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×124813443 (a number of 22 digits) contains 333 as substring.
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 an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53452 + ... + 53684.
Almost surely, 212481344 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 12481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).
12481344 is an abundant number, since it is smaller than the sum of its proper divisors (25557696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12481344 is a wasteful number, since it uses less digits than its factorization.
12481344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 285 (or 269 counting only the distinct ones).
The product of its digits is 3072, while the sum is 27.
The square root of 12481344 is about 3532.8945639518. The cubic root of 12481344 is about 231.9639262184.
Adding to 12481344 its reverse (44318421), we get a palindrome (56799765).
The spelling of 12481344 in words is "twelve million, four hundred eighty-one thousand, three hundred forty-four".
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