| Base | Representation |
|---|---|
| bin | 10010001011100… |
| … | …001010101010000 |
| 3 | 210020221010001200 |
| 4 | 102023201111100 |
| 5 | 1111040310000 |
| 6 | 50133231200 |
| 7 | 10362353661 |
| oct | 2213412520 |
| 9 | 706833050 |
| 10 | 305010000 |
| 11 | 147196589 |
| 12 | 86192500 |
| 13 | 4b2632b9 |
| 14 | 2c719368 |
| 15 | 1bb9d500 |
| hex | 122e1550 |
305010000 has 150 divisors (see below), whose sum is σ = 1066978770. Its totient is φ = 81312000.
The previous prime is 305009953. The next prime is 305010019. The reversal of 305010000 is 10503.
It can be written as a sum of positive squares in 5 ways, for example, as 39841344 + 265168656 = 6312^2 + 16284^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a super-2 number, since 2×3050100002 = 186062200200000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
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 29 ways as a sum of consecutive naturals, for example, 88306 + ... + 91694.
Almost surely, 2305010000 is an apocalyptic number.
305010000 is a gapful number since it is divisible by the number (30) 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 305010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533489385).
305010000 is an abundant number, since it is smaller than the sum of its proper divisors (761968770).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305010000 is a wasteful number, since it uses less digits than its factorization.
305010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3423 (or 3399 counting only the distinct ones).
The product of its (nonzero) digits is 15, while the sum is 9.
The square root of 305010000 is about 17464.5354933935. The cubic root of 305010000 is about 673.1389062751.
Adding to 305010000 its reverse (10503), we get a palindrome (305020503).
The spelling of 305010000 in words is "three hundred five million, ten thousand".
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