| Base | Representation |
|---|---|
| bin | 10001111000111… |
| … | …010111010000000 |
| 3 | 202220202101110200 |
| 4 | 101320322322000 |
| 5 | 1103313242031 |
| 6 | 45440525200 |
| 7 | 10303045200 |
| oct | 2170727200 |
| 9 | 686671420 |
| 10 | 300134016 |
| 11 | 144466146 |
| 12 | 84620800 |
| 13 | 4a246ac0 |
| 14 | 2bc0a400 |
| 15 | 1b5388e6 |
| hex | 11e3ae80 |
300134016 has 288 divisors, whose sum is σ = 1084601700. Its totient is φ = 78962688.
The previous prime is 300134011. The next prime is 300134027. The reversal of 300134016 is 610431003.
It can be written as a sum of positive squares in 2 ways, for example, as 299428416 + 705600 = 17304^2 + 840^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 300134016.
It is not an unprimeable number, because it can be changed into a prime (300134011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733620 + ... + 734028.
Almost surely, 2300134016 is an apocalyptic number.
300134016 is a gapful number since it is divisible by the number (36) 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 300134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542300850).
300134016 is an abundant number, since it is smaller than the sum of its proper divisors (784467684).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
300134016 is a wasteful number, since it uses less digits than its factorization.
300134016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 456 (or 434 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 300134016 is about 17324.3763524117. The cubic root of 300134016 is about 669.5326182715.
Adding to 300134016 its reverse (610431003), we get a palindrome (910565019).
The spelling of 300134016 in words is "three hundred million, one hundred thirty-four thousand, sixteen".
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