Base | Representation |
---|---|
bin | 1110001001100100101… |
… | …0010010100111110110 |
3 | 212020110012112201022210 |
4 | 3202121022102213312 |
5 | 12440320432432332 |
6 | 303401210434250 |
7 | 23363641016601 |
oct | 3423112224766 |
9 | 766405481283 |
10 | 243087780342 |
11 | 94102795320 |
12 | 3b141732986 |
13 | 19c0000b7a4 |
14 | baa07c5338 |
15 | 64cb08decc |
hex | 38992929f6 |
243087780342 has 96 divisors (see below), whose sum is σ = 550957486464. Its totient is φ = 70872278400.
The previous prime is 243087780323. The next prime is 243087780343.
243087780342 is nontrivially palindromic in base 10.
243087780342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 243087780291 and 243087780300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (243087780343) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12730242 + ... + 12749322.
It is an arithmetic number, because the mean of its divisors is an integer number (5739140484).
Almost surely, 2243087780342 is an apocalyptic number.
243087780342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 243087780342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275478743232).
243087780342 is an abundant number, since it is smaller than the sum of its proper divisors (307869706122).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243087780342 is a wasteful number, since it uses less digits than its factorization.
243087780342 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19274 (or 19207 counting only the distinct ones).
The product of its (nonzero) digits is 1806336, while the sum is 48.
The spelling of 243087780342 in words is "two hundred forty-three billion, eighty-seven million, seven hundred eighty thousand, three hundred forty-two".
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