Base | Representation |
---|---|
bin | 101101010001… |
… | …0011100011000 |
3 | 1122122210222112 |
4 | 1122202130120 |
5 | 22033442130 |
6 | 2204411452 |
7 | 405510311 |
oct | 132423430 |
9 | 48583875 |
10 | 23734040 |
11 | 12440810 |
12 | 7b46b88 |
13 | 4bbcc15 |
14 | 321b608 |
15 | 213c495 |
hex | 16a2718 |
23734040 has 128 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 7649280.
The previous prime is 23734037. The next prime is 23734069. The reversal of 23734040 is 4043732.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 23733997 and 23734015.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 142037 + ... + 142203.
It is an arithmetic number, because the mean of its divisors is an integer number (510300).
Almost surely, 223734040 is an apocalyptic number.
23734040 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 23734040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).
23734040 is an abundant number, since it is smaller than the sum of its proper divisors (41584360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23734040 is a wasteful number, since it uses less digits than its factorization.
23734040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 225 (or 221 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 23.
The square root of 23734040 is about 4871.7594357686. The cubic root of 23734040 is about 287.3804518717.
Adding to 23734040 its reverse (4043732), we get a palindrome (27777772).
The spelling of 23734040 in words is "twenty-three million, seven hundred thirty-four thousand, forty".
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