Base | Representation |
---|---|
bin | 100110110011… |
… | …0111000000000 |
3 | 1102021121011100 |
4 | 1031212320000 |
5 | 20202004240 |
6 | 2004014400 |
7 | 334631613 |
oct | 115467000 |
9 | 42247140 |
10 | 20344320 |
11 | 10535a97 |
12 | 6991400 |
13 | 42a4079 |
14 | 29b817a |
15 | 1bbce30 |
hex | 1366e00 |
20344320 has 120 divisors (see below), whose sum is σ = 70537896. Its totient is φ = 5419008.
The previous prime is 20344319. The next prime is 20344327. The reversal of 20344320 is 2344302.
20344320 is a `hidden beast` number, since 2 + 0 + 344 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 20344293 and 20344302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20344327) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22599 + ... + 23481.
Almost surely, 220344320 is an apocalyptic number.
20344320 is a gapful number since it is divisible by the number (20) 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 20344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35268948).
20344320 is an abundant number, since it is smaller than the sum of its proper divisors (50193576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20344320 is an equidigital number, since it uses as much as digits as its factorization.
20344320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 912 (or 893 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 20344320 is about 4510.4678249601. The cubic root of 20344320 is about 272.9906207783.
Subtracting from 20344320 its sum of digits (18), we obtain a palindrome (20344302).
Adding to 20344320 its reverse (2344302), we get a palindrome (22688622).
The spelling of 20344320 in words is "twenty million, three hundred forty-four thousand, three hundred twenty".
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