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234936 = 233213251
BaseRepresentation
bin111001010110111000
3102221021100
4321112320
530004221
65011400
71665642
oct712670
9387240
10234936
11150569
12b3b60
1382c20
1461892
1549926
hex395b8

234936 has 48 divisors (see below), whose sum is σ = 687960. Its totient is φ = 72000.

The previous prime is 234931. The next prime is 234947. The reversal of 234936 is 639432.

Subtracting 234936 from its reverse (639432), we obtain a square (404496 = 6362).

It can be divided in two parts, 234 and 936, that multiplied together give a square (219024 = 4682).

234936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234931) by changing a digit.

234936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811 + ... + 1061.

2234936 is an apocalyptic number.

234936 is a gapful number since it is divisible by the number (26) 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 234936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

234936 is an abundant number, since it is smaller than the sum of its proper divisors (453024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234936 is a wasteful number, since it uses less digits than its factorization.

234936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 234936 is about 484.7019702869. The cubic root of 234936 is about 61.7044553713.

The spelling of 234936 in words is "two hundred thirty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 251 312 468 502 753 936 1004 1506 2008 2259 3012 3263 4518 6024 6526 9036 9789 13052 18072 19578 26104 29367 39156 58734 78312 117468 234936