Base | Representation |
---|---|
bin | 11100000011100… |
… | …01000011100100 |
3 | 121101211201102011 |
4 | 32001301003210 |
5 | 440222002400 |
6 | 35204124004 |
7 | 5555251255 |
oct | 1601610344 |
9 | 541751364 |
10 | 235344100 |
11 | 110933562 |
12 | 66996604 |
13 | 399b0884 |
14 | 23382b2c |
15 | 159db8ba |
hex | e0710e4 |
235344100 has 72 divisors (see below), whose sum is σ = 532294056. Its totient is φ = 90240000.
The previous prime is 235344091. The next prime is 235344113. The reversal of 235344100 is 1443532.
It can be written as a sum of positive squares in 12 ways, for example, as 178703424 + 56640676 = 13368^2 + 7526^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249630 + ... + 250570.
It is an arithmetic number, because the mean of its divisors is an integer number (7392973).
Almost surely, 2235344100 is an apocalyptic number.
235344100 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 235344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266147028).
235344100 is an abundant number, since it is smaller than the sum of its proper divisors (296949956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235344100 is a wasteful number, since it uses less digits than its factorization.
235344100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1057 (or 1050 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 22.
The square root of 235344100 is about 15340.9289158121. The cubic root of 235344100 is about 617.4016299890.
Adding to 235344100 its reverse (1443532), we get a palindrome (236787632).
The spelling of 235344100 in words is "two hundred thirty-five million, three hundred forty-four thousand, one hundred".
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