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234828 = 223211593
BaseRepresentation
bin111001010101001100
3102221010100
4321111030
530003303
65011100
71665426
oct712514
9387110
10234828
11150480
12b3a90
1382b69
1461816
15498a3
hex3954c

234828 has 36 divisors (see below), whose sum is σ = 648648. Its totient is φ = 71040.

The previous prime is 234811. The next prime is 234833. The reversal of 234828 is 828432.

234828 is nontrivially palindromic in base 14.

234828 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 (36).

It is an Ulam number.

It is an unprimeable number.

234828 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, 100 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2234828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324324).

234828 is an abundant number, since it is smaller than the sum of its proper divisors (413820).

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

234828 is a wasteful number, since it uses less digits than its factorization.

234828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 609 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 234828 is about 484.5905488142. The cubic root of 234828 is about 61.6949987497.

It can be divided in two parts, 23 and 4828, that added together give a triangular number (4851 = T98).

The spelling of 234828 in words is "two hundred thirty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 593 1186 1779 2372 3558 5337 6523 7116 10674 13046 19569 21348 26092 39138 58707 78276 117414 234828