Base | Representation |
---|---|
bin | 10010001110001… |
… | …110111110000000 |
3 | 210022021020200000 |
4 | 102032032332000 |
5 | 1111231034331 |
6 | 50200400000 |
7 | 10401405333 |
oct | 2216167600 |
9 | 708236600 |
10 | 305721216 |
11 | 147631969 |
12 | 86476000 |
13 | 4b451c38 |
14 | 2c86261a |
15 | 1bc8e0e6 |
hex | 1238ef80 |
305721216 has 96 divisors (see below), whose sum is σ = 912420600. Its totient is φ = 101896704.
The previous prime is 305721211. The next prime is 305721223. The reversal of 305721216 is 612127503.
It is a happy number.
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 (27).
It is a self number, because there is not a number n which added to its sum of digits gives 305721216.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (305721211) 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 11 ways as a sum of consecutive naturals, for example, 26190 + ... + 36018.
Almost surely, 2305721216 is an apocalyptic number.
305721216 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 305721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456210300).
305721216 is an abundant number, since it is smaller than the sum of its proper divisors (606699384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305721216 is an frugal number, since it uses more digits than its factorization.
305721216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9858 (or 9834 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 305721216 is about 17484.8853585032. The cubic root of 305721216 is about 673.6617039219.
Adding to 305721216 its reverse (612127503), we get a palindrome (917848719).
The spelling of 305721216 in words is "three hundred five million, seven hundred twenty-one thousand, two hundred sixteen".
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