Base | Representation |
---|---|
bin | 11011111110111… |
… | …00100000100000 |
3 | 121100200210202220 |
4 | 31333130200200 |
5 | 440043020043 |
6 | 35143111040 |
7 | 5550135330 |
oct | 1577344040 |
9 | 540623686 |
10 | 234735648 |
11 | 110558404 |
12 | 66742480 |
13 | 39829944 |
14 | 232650c0 |
15 | 1591b483 |
hex | dfdc820 |
234735648 has 96 divisors (see below), whose sum is σ = 708857856. Its totient is φ = 66624768.
The previous prime is 234735629. The next prime is 234735649. The reversal of 234735648 is 846537432.
234735648 is digitally balanced in base 2, 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 (96).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is not an unprimeable number, because it can be changed into a prime (234735649) 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, 108465 + ... + 110607.
It is an arithmetic number, because the mean of its divisors is an integer number (7383936).
Almost surely, 2234735648 is an apocalyptic number.
234735648 is a gapful number since it is divisible by the number (28) 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 234735648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354428928).
234735648 is an abundant number, since it is smaller than the sum of its proper divisors (474122208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234735648 is a wasteful number, since it uses less digits than its factorization.
234735648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2326 (or 2318 counting only the distinct ones).
The product of its digits is 483840, while the sum is 42.
The square root of 234735648 is about 15321.0850790667. The cubic root of 234735648 is about 616.8690998739.
The spelling of 234735648 in words is "two hundred thirty-four million, seven hundred thirty-five thousand, six hundred forty-eight".
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