234112 has 32 divisors (see below), whose sum is σ = 489600. Its totient is φ = 111360.

The previous prime is 234103. The next prime is 234121. The reversal of 234112 is 211432.

Adding to 234112 its reverse (211432), we get a palindrome (445544).

234112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234103) and next prime (234121).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 234092 and 234101.

It is an unprimeable number.

234112 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 3 ways as a sum of consecutive naturals, for example, 3939 + ... + 3997.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2^{234112} 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 234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

234112 is an abundant number, since it is smaller than the sum of its proper divisors (255488).

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

234112 is an equidigital number, since it uses as much as digits as its factorization.

234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 234112 is about 483.8512168012. The cubic root of 234112 is about 61.6322314036.

The spelling of 234112 in words is "two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 128 236 248 472 496 944 992 1829 1888 1984 3658 3776 3968 7316 7552 14632 29264 58528 117056 234112

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