Base | Representation |
---|---|
bin | 101100100101… |
… | …1101001110000 |
3 | 1121222202100000 |
4 | 1121023221300 |
5 | 21441103134 |
6 | 2153030000 |
7 | 402500010 |
oct | 131135160 |
9 | 47882300 |
10 | 23378544 |
11 | 12218712 |
12 | 79b5300 |
13 | 4ac7177 |
14 | 3167c40 |
15 | 20bbe99 |
hex | 164ba70 |
23378544 has 120 divisors (see below), whose sum is σ = 77633920. Its totient is φ = 6671808.
The previous prime is 23378543. The next prime is 23378567. The reversal of 23378544 is 44587332.
It is a happy number.
It is a super-3 number, since 3×233785443 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23378499 and 23378508.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23378543) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26787 + ... + 27645.
Almost surely, 223378544 is an apocalyptic number.
23378544 is a gapful number since it is divisible by the number (24) 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 23378544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38816960).
23378544 is an abundant number, since it is smaller than the sum of its proper divisors (54255376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23378544 is an equidigital number, since it uses as much as digits as its factorization.
23378544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 889 (or 871 counting only the distinct ones).
The product of its digits is 80640, while the sum is 36.
The square root of 23378544 is about 4835.1363993170. The cubic root of 23378544 is about 285.9384026309.
The spelling of 23378544 in words is "twenty-three million, three hundred seventy-eight thousand, five hundred forty-four".
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