Base | Representation |
---|---|
bin | 11100111011111… |
… | …01010000000000 |
3 | 121220202011120010 |
4 | 32131331100000 |
5 | 444114442310 |
6 | 40030344520 |
7 | 6005130351 |
oct | 1635752000 |
9 | 556664503 |
10 | 242734080 |
11 | 115020786 |
12 | 6935b140 |
13 | 3b39a444 |
14 | 24347d28 |
15 | 1649b320 |
hex | e77d400 |
242734080 has 88 divisors (see below), whose sum is σ = 776418912. Its totient is φ = 64724992.
The previous prime is 242734049. The next prime is 242734087. The reversal of 242734080 is 80437242.
242734080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242734087) 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 7 ways as a sum of consecutive naturals, for example, 7459 + ... + 23261.
Almost surely, 2242734080 is an apocalyptic number.
242734080 is a gapful number since it is divisible by the number (20) 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 242734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388209456).
242734080 is an abundant number, since it is smaller than the sum of its proper divisors (533684832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242734080 is a wasteful number, since it uses less digits than its factorization.
242734080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15831 (or 15813 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 30.
The square root of 242734080 is about 15579.9255453933. The cubic root of 242734080 is about 623.7974358940.
The spelling of 242734080 in words is "two hundred forty-two million, seven hundred thirty-four thousand, eighty".
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