Base | Representation |
---|---|
bin | 101111000101… |
… | …001111100000 |
3 | 212020001101000 |
4 | 233011033200 |
5 | 11124422430 |
6 | 1120312000 |
7 | 206623131 |
oct | 57051740 |
9 | 25201330 |
10 | 12342240 |
11 | 6a6a9a9 |
12 | 4172600 |
13 | 2731a01 |
14 | 18d3c88 |
15 | 113be60 |
hex | bc53e0 |
12342240 has 96 divisors (see below), whose sum is σ = 43212960. Its totient is φ = 3290112.
The previous prime is 12342223. The next prime is 12342257. The reversal of 12342240 is 4224321.
12342240 is digitally balanced in base 2, because in such base 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 (12342223) and next prime (12342257).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
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, 2892 + ... + 5748.
It is an arithmetic number, because the mean of its divisors is an integer number (450135).
Almost surely, 212342240 is an apocalyptic number.
12342240 is a gapful number since it is divisible by the number (10) 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 12342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21606480).
12342240 is an abundant number, since it is smaller than the sum of its proper divisors (30870720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12342240 is a wasteful number, since it uses less digits than its factorization.
12342240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2881 (or 2867 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 12342240 is about 3513.1524305102. The cubic root of 12342240 is about 231.0989624887.
Adding to 12342240 its reverse (4224321), we get a palindrome (16566561).
The spelling of 12342240 in words is "twelve million, three hundred forty-two thousand, two hundred forty".
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