Base | Representation |
---|---|
bin | 10010001110101… |
… | …110011111100000 |
3 | 210022111210210020 |
4 | 102032232133200 |
5 | 1111244202321 |
6 | 50203233440 |
7 | 10402453641 |
oct | 2216563740 |
9 | 708453706 |
10 | 305850336 |
11 | 14770a980 |
12 | 86518880 |
13 | 4b49893c |
14 | 2c8976c8 |
15 | 1bcb74c6 |
hex | 123ae7e0 |
305850336 has 96 divisors (see below), whose sum is σ = 890870400. Its totient is φ = 91092480.
The previous prime is 305850331. The next prime is 305850341. The reversal of 305850336 is 633058503.
305850336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (305850331) and next prime (305850341).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 305850297 and 305850306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (305850331) 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, 59850 + ... + 64758.
It is an arithmetic number, because the mean of its divisors is an integer number (9279900).
Almost surely, 2305850336 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 305850336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445435200).
305850336 is an abundant number, since it is smaller than the sum of its proper divisors (585020064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305850336 is a wasteful number, since it uses less digits than its factorization.
305850336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4992 (or 4984 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 33.
The square root of 305850336 is about 17488.5773006268. The cubic root of 305850336 is about 673.7565299179.
The spelling of 305850336 in words is "three hundred five million, eight hundred fifty thousand, three hundred thirty-six".
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