Base | Representation |
---|---|
bin | 101111000110… |
… | …000001011000 |
3 | 212020012202020 |
4 | 233012001120 |
5 | 11130023212 |
6 | 1120334440 |
7 | 206635341 |
oct | 57060130 |
9 | 25205666 |
10 | 12345432 |
11 | 6a72340 |
12 | 4174420 |
13 | 27332b8 |
14 | 18d50c8 |
15 | 113cd8c |
hex | bc6058 |
12345432 has 64 divisors (see below), whose sum is σ = 34076160. Its totient is φ = 3696000.
The previous prime is 12345427. The next prime is 12345433. The reversal of 12345432 is 23454321.
12345432 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12345433) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26433 + ... + 26895.
It is an arithmetic number, because the mean of its divisors is an integer number (532440).
Almost surely, 212345432 is an apocalyptic number.
12345432 is a gapful number since it is divisible by the number (12) 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 12345432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038080).
12345432 is an abundant number, since it is smaller than the sum of its proper divisors (21730728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12345432 is a wasteful number, since it uses less digits than its factorization.
12345432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 584 (or 580 counting only the distinct ones).
The product of its digits is 2880, while the sum is 24.
The square root of 12345432 is about 3513.6066939827. The cubic root of 12345432 is about 231.1188833541.
Adding to 12345432 its reverse (23454321), we get a palindrome (35799753).
Subtracting 12345432 from its reverse (23454321), we obtain a square (11108889 = 33332).
It can be divided in two parts, 1234 and 5432, that added together give a palindrome (6666).
The spelling of 12345432 in words is "twelve million, three hundred forty-five thousand, four hundred thirty-two".
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