Base | Representation |
---|---|
bin | 101101001001… |
… | …1101000101000 |
3 | 1122112201210000 |
4 | 1122103220220 |
5 | 22030022014 |
6 | 2203223000 |
7 | 405135420 |
oct | 132235050 |
9 | 48481700 |
10 | 23673384 |
11 | 123aa189 |
12 | 7b17a60 |
13 | 4b9b427 |
14 | 3203480 |
15 | 2129509 |
hex | 1693a28 |
23673384 has 160 divisors (see below), whose sum is σ = 80498880. Its totient is φ = 6345216.
The previous prime is 23673379. The next prime is 23673413. The reversal of 23673384 is 48337632.
It is a super-2 number, since 2×236733842 = 1120858220022912, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (72576) is a multiple of the sum of its prime divisors (336).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76959 + ... + 77265.
It is an arithmetic number, because the mean of its divisors is an integer number (503118).
Almost surely, 223673384 is an apocalyptic number.
23673384 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 23673384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40249440).
23673384 is an abundant number, since it is smaller than the sum of its proper divisors (56825496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23673384 is a wasteful number, since it uses less digits than its factorization.
23673384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 349 (or 336 counting only the distinct ones).
The product of its digits is 72576, while the sum is 36.
The square root of 23673384 is about 4865.5301869375. The cubic root of 23673384 is about 287.1354279973.
The spelling of 23673384 in words is "twenty-three million, six hundred seventy-three thousand, three hundred eighty-four".
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