Base | Representation |
---|---|
bin | 101101000101… |
… | …1110100000000 |
3 | 1122111002211100 |
4 | 1122023310000 |
5 | 22023010334 |
6 | 2202414400 |
7 | 404643126 |
oct | 132136400 |
9 | 48432740 |
10 | 23641344 |
11 | 12388101 |
12 | 7b01400 |
13 | 4b8997c |
14 | 31d5916 |
15 | 211ec99 |
hex | 168bd00 |
23641344 has 108 divisors (see below), whose sum is σ = 70575232. Its totient is φ = 7603200.
The previous prime is 23641307. The next prime is 23641363. The reversal of 23641344 is 44314632.
It is a super-2 number, since 2×236413442 = 1117826292252672, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (6912) is a multiple of the sum of its prime factors (384).
It is a zygodrome in base 3.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71259 + ... + 71589.
Almost surely, 223641344 is an apocalyptic number.
23641344 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 23641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35287616).
23641344 is an abundant number, since it is smaller than the sum of its proper divisors (46933888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23641344 is a wasteful number, since it uses less digits than its factorization.
23641344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 384 (or 367 counting only the distinct ones).
The product of its digits is 6912, while the sum is 27.
The square root of 23641344 is about 4862.2365224246. The cubic root of 23641344 is about 287.0058313634.
Adding to 23641344 its reverse (44314632), we get a palindrome (67955976).
The spelling of 23641344 in words is "twenty-three million, six hundred forty-one thousand, three hundred forty-four".
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