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234496 = 210229
BaseRepresentation
bin111001010000000000
3102220200001
4321100000
530000441
65005344
71664443
oct712000
9386601
10234496
111501a9
12b3854
1382972
146165a
1549731
hex39400

234496 has 22 divisors (see below), whose sum is σ = 470810. Its totient is φ = 116736.

The previous prime is 234473. The next prime is 234499. The reversal of 234496 is 694432.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 4096 = 480^2 + 64^2 .

It is a d-powerful number, because it can be written as 25 + 311 + 4 + 46 + 94 + 66 .

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910 + ... + 1138.

234496 is a Friedman number, since it can be written as 4^9-(6*4)^3*2, using all its digits and the basic arithmetic operations.

2234496 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 234496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235405).

234496 is an abundant number, since it is smaller than the sum of its proper divisors (236314).

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

234496 is an equidigital number, since it uses as much as digits as its factorization.

234496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 234496 is about 484.2478704135. The cubic root of 234496 is about 61.6659102253.

The spelling of 234496 in words is "two hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 512 916 1024 1832 3664 7328 14656 29312 58624 117248 234496