Base | Representation |
---|---|
bin | 1011001011010101… |
… | …1001011110100000 |
3 | 21202002200012001210 |
4 | 2302311121132200 |
5 | 22121041424212 |
6 | 1213415430120 |
7 | 134231330013 |
oct | 26265313640 |
9 | 7662605053 |
10 | 3000342432 |
11 | 12aa68474a |
12 | 6b8985340 |
13 | 38a7a4369 |
14 | 20669537a |
15 | 12861053c |
hex | b2d597a0 |
3000342432 has 96 divisors (see below), whose sum is σ = 8187020352. Its totient is φ = 961265664.
The previous prime is 3000342299. The next prime is 3000342437. The reversal of 3000342432 is 2342430003.
3000342432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 3000342399 and 3000342408.
It is not an unprimeable number, because it can be changed into a prime (3000342437) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289728 + ... + 299904.
It is an arithmetic number, because the mean of its divisors is an integer number (85281462).
Almost surely, 23000342432 is an apocalyptic number.
3000342432 is a gapful number since it is divisible by the number (32) 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 3000342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093510176).
3000342432 is an abundant number, since it is smaller than the sum of its proper divisors (5186677920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3000342432 is a wasteful number, since it uses less digits than its factorization.
3000342432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10310 (or 10302 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 21.
The square root of 3000342432 is about 54775.3816234994. The cubic root of 3000342432 is about 1442.3044429313.
Adding to 3000342432 its reverse (2342430003), we get a palindrome (5342772435).
The spelling of 3000342432 in words is "three billion, three hundred forty-two thousand, four hundred thirty-two".
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