Base | Representation |
---|---|
bin | 101101100010… |
… | …0111100010000 |
3 | 1122220222211000 |
4 | 1123010330100 |
5 | 22103002334 |
6 | 2211422000 |
7 | 406636263 |
oct | 133047420 |
9 | 48828730 |
10 | 23875344 |
11 | 12527999 |
12 | 7bb4900 |
13 | 4c3c32c |
14 | 3256cda |
15 | 2169299 |
hex | 16c4f10 |
23875344 has 80 divisors (see below), whose sum is σ = 72584640. Its totient is φ = 7488000.
The previous prime is 23875333. The next prime is 23875349. The reversal of 23875344 is 44357832.
It is a happy number.
It is a super-2 number, since 2×238753442 = 1140064102236672, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
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 = 23875299 and 23875308.
It is not an unprimeable number, because it can be changed into a prime (23875349) 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 15 ways as a sum of consecutive naturals, for example, 5719 + ... + 8969.
It is an arithmetic number, because the mean of its divisors is an integer number (907308).
Almost surely, 223875344 is an apocalyptic number.
23875344 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 23875344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36292320).
23875344 is an abundant number, since it is smaller than the sum of its proper divisors (48709296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23875344 is a wasteful number, since it uses less digits than its factorization.
23875344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3285 (or 3273 counting only the distinct ones).
The product of its digits is 80640, while the sum is 36.
The square root of 23875344 is about 4886.2402724385. The cubic root of 23875344 is about 287.9496439737.
The spelling of 23875344 in words is "twenty-three million, eight hundred seventy-five thousand, three hundred forty-four".
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