Base | Representation |
---|---|
bin | 10010001100111… |
… | …000001000100000 |
3 | 210021121011202200 |
4 | 102030320020200 |
5 | 1111133144121 |
6 | 50145013200 |
7 | 10365364350 |
oct | 2214701040 |
9 | 707534680 |
10 | 305365536 |
11 | 147409713 |
12 | 86324200 |
13 | 4b359088 |
14 | 2c7acb60 |
15 | 1bc1da26 |
hex | 12338220 |
305365536 has 72 divisors (see below), whose sum is σ = 992444544. Its totient is φ = 87246720.
The previous prime is 305365519. The next prime is 305365559. The reversal of 305365536 is 635563503.
305365536 is digitally balanced in base 3, 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 (72).
It is a super-2 number, since 2×3053655362 = 186496221153134592, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 305365536.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73720 + ... + 77751.
It is an arithmetic number, because the mean of its divisors is an integer number (13783952).
Almost surely, 2305365536 is an apocalyptic number.
305365536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
305365536 is an abundant number, since it is smaller than the sum of its proper divisors (687079008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305365536 is a wasteful number, since it uses less digits than its factorization.
305365536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 151494 (or 151483 counting only the distinct ones).
The product of its (nonzero) digits is 121500, while the sum is 36.
The square root of 305365536 is about 17474.7113280878. The cubic root of 305365536 is about 673.4003536422.
The spelling of 305365536 in words is "three hundred five million, three hundred sixty-five thousand, five hundred thirty-six".
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