Base | Representation |
---|---|
bin | 100110001101… |
… | …1001110000000 |
3 | 1101200212002000 |
4 | 1030123032000 |
5 | 20112100212 |
6 | 1553224000 |
7 | 332201265 |
oct | 114331600 |
9 | 41625060 |
10 | 20034432 |
11 | 10344190 |
12 | 6862000 |
13 | 41c5cc2 |
14 | 293726c |
15 | 1b5b1dc |
hex | 131b380 |
20034432 has 256 divisors, whose sum is σ = 70502400. Its totient is φ = 5529600.
The previous prime is 20034397. The next prime is 20034433. The reversal of 20034432 is 23443002.
20034432 is a `hidden beast` number, since 200 + 34 + 432 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20034433) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646257 + ... + 646287.
It is an arithmetic number, because the mean of its divisors is an integer number (275400).
Almost surely, 220034432 is an apocalyptic number.
20034432 is a gapful number since it is divisible by the number (22) 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 20034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).
20034432 is an abundant number, since it is smaller than the sum of its proper divisors (50467968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20034432 is a wasteful number, since it uses less digits than its factorization.
20034432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 82 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 20034432 is about 4475.9839141802. The cubic root of 20034432 is about 271.5974437318.
Adding to 20034432 its reverse (23443002), we get a palindrome (43477434).
The spelling of 20034432 in words is "twenty million, thirty-four thousand, four hundred thirty-two".
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