Base | Representation |
---|---|
bin | 101011110111… |
… | …1010011110110 |
3 | 1121021112111100 |
4 | 1113233103312 |
5 | 21342002220 |
6 | 2140550530 |
7 | 366333204 |
oct | 127572366 |
9 | 47245440 |
10 | 23000310 |
11 | 11a8a523 |
12 | 7852446 |
13 | 49c3c68 |
14 | 30aa074 |
15 | 2044d90 |
hex | 15ef4f6 |
23000310 has 48 divisors (see below), whose sum is σ = 61425936. Its totient is φ = 5966784.
The previous prime is 23000309. The next prime is 23000311. The reversal of 23000310 is 1300032.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (23000309) and next prime (23000311).
It is a super-2 number, since 2×230003102 = 1058028520192200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 23000292 and 23000301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23000311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124 + ... + 6783.
It is an arithmetic number, because the mean of its divisors is an integer number (1279707).
Almost surely, 223000310 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30712968).
23000310 is an abundant number, since it is smaller than the sum of its proper divisors (38425626).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23000310 is a wasteful number, since it uses less digits than its factorization.
23000310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6957 (or 6954 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 23000310 is about 4795.8638429380. The cubic root of 23000310 is about 284.3879756588.
Adding to 23000310 its reverse (1300032), we get a palindrome (24300342).
The spelling of 23000310 in words is "twenty-three million, three hundred ten", and thus it is an aban number.
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