Base | Representation |
---|---|
bin | 10010000001101… |
… | …011011101001000 |
3 | 210002002001000000 |
4 | 102001223131020 |
5 | 1104410230044 |
6 | 50002043000 |
7 | 10331420121 |
oct | 2201533510 |
9 | 702061000 |
10 | 302430024 |
11 | 145794176 |
12 | 85349460 |
13 | 4a86bba0 |
14 | 2c247048 |
15 | 1b83dd69 |
hex | 1206b748 |
302430024 has 112 divisors (see below), whose sum is σ = 915824700. Its totient is φ = 93032064.
The previous prime is 302430019. The next prime is 302430041. The reversal of 302430024 is 420034203.
It can be written as a sum of positive squares in 2 ways, for example, as 289340100 + 13089924 = 17010^2 + 3618^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 302429979 and 302430006.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 73822 + ... + 77810.
Almost surely, 2302430024 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 302430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457912350).
302430024 is an abundant number, since it is smaller than the sum of its proper divisors (613394676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
302430024 is a wasteful number, since it uses less digits than its factorization.
302430024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4026 (or 4007 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 302430024 is about 17390.5153460155. The cubic root of 302430024 is about 671.2355784798.
Adding to 302430024 its reverse (420034203), we get a palindrome (722464227).
The spelling of 302430024 in words is "three hundred two million, four hundred thirty thousand, twenty-four".
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