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230436 = 223237173
BaseRepresentation
bin111000010000100100
3102201002200
4320100210
524333221
64534500
71646553
oct702044
9381080
10230436
11148148
12b1430
1380b6b
145dd9a
1548426
hex38424

230436 has 36 divisors (see below), whose sum is σ = 601692. Its totient is φ = 74304.

The previous prime is 230431. The next prime is 230449. The reversal of 230436 is 634032.

230436 is a `hidden beast` number, since 230 + 436 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 22500 = 456^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 23 + 38 + 43 + 0 + 311 + 66 .

It is not an unprimeable number, because it can be changed into a prime (230431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1246 + ... + 1418.

2230436 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 230436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300846).

230436 is an abundant number, since it is smaller than the sum of its proper divisors (371256).

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

230436 is a wasteful number, since it uses less digits than its factorization.

230436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230436 is about 480.0374985353. The cubic root of 230436 is about 61.3079473812.

Adding to 230436 its reverse (634032), we get a palindrome (864468).

It can be divided in two parts, 2304 and 36, that multiplied together give a square (82944 = 2882).

The spelling of 230436 in words is "two hundred thirty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 173 222 333 346 444 519 666 692 1038 1332 1557 2076 3114 6228 6401 12802 19203 25604 38406 57609 76812 115218 230436