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234728 = 23133761
BaseRepresentation
bin111001010011101000
3102220222122
4321103220
530002403
65010412
71665224
oct712350
9386878
10234728
1115039a
12b3a08
1382ac0
1461784
1549838
hex394e8

234728 has 32 divisors (see below), whose sum is σ = 494760. Its totient is φ = 103680.

The previous prime is 234727. The next prime is 234733. The reversal of 234728 is 827432.

234728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 145924 + 88804 = 382^2 + 298^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 234697 and 234706.

It is not an unprimeable number, because it can be changed into a prime (234721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3818 + ... + 3878.

2234728 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 234728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247380).

234728 is an abundant number, since it is smaller than the sum of its proper divisors (260032).

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

234728 is a wasteful number, since it uses less digits than its factorization.

234728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 234728 is about 484.4873579362. The cubic root of 234728 is about 61.6862400329.

Subtracting 234728 from its reverse (827432), we obtain a cube (592704 = 843).

The spelling of 234728 in words is "two hundred thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 37 52 61 74 104 122 148 244 296 481 488 793 962 1586 1924 2257 3172 3848 4514 6344 9028 18056 29341 58682 117364 234728