Base | Representation |
---|---|
bin | 101100100101… |
… | …0101110001000 |
3 | 1121222120002200 |
4 | 1121022232020 |
5 | 21440442403 |
6 | 2153000200 |
7 | 402452616 |
oct | 131125610 |
9 | 47876080 |
10 | 23374728 |
11 | 12215863 |
12 | 79b3060 |
13 | 4ac5500 |
14 | 31666b6 |
15 | 20baca3 |
hex | 164ab88 |
23374728 has 144 divisors (see below), whose sum is σ = 73225620. Its totient is φ = 6709248.
The previous prime is 23374727. The next prime is 23374763. The reversal of 23374728 is 82747332.
It can be written as a sum of positive squares in 6 ways, for example, as 1077444 + 22297284 = 1038^2 + 4722^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (56448) is a multiple of the sum of its prime factors (168).
It is a junction number, because it is equal to n+sod(n) for n = 23374692 and 23374701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23374727) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 206800 + ... + 206912.
Almost surely, 223374728 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23374728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36612810).
23374728 is an abundant number, since it is smaller than the sum of its proper divisors (49850892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23374728 is a wasteful number, since it uses less digits than its factorization.
23374728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 168 (or 148 counting only the distinct ones).
The product of its digits is 56448, while the sum is 36.
The square root of 23374728 is about 4834.7417718013. The cubic root of 23374728 is about 285.9228442009.
The spelling of 23374728 in words is "twenty-three million, three hundred seventy-four thousand, seven hundred twenty-eight".
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