Search a number
-
+
230412 = 223713211
BaseRepresentation
bin111000010000001100
3102201001210
4320100030
524333122
64534420
71646520
oct702014
9381053
10230412
11148126
12b1410
1380b50
145dd80
154840c
hex3840c

230412 has 48 divisors (see below), whose sum is σ = 664832. Its totient is φ = 60480.

The previous prime is 230393. The next prime is 230431. The reversal of 230412 is 214032.

It is an interprime number because it is at equal distance from previous prime (230393) and next prime (230431).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987 + ... + 1197.

2230412 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 230412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332416).

230412 is an abundant number, since it is smaller than the sum of its proper divisors (434420).

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

230412 is a wasteful number, since it uses less digits than its factorization.

230412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230412 is about 480.0124998372. The cubic root of 230412 is about 61.3058188917.

Subtracting from 230412 its sum of digits (12), we obtain a square (230400 = 4802).

Adding to 230412 its reverse (214032), we get a palindrome (444444).

The spelling of 230412 in words is "two hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 211 273 364 422 546 633 844 1092 1266 1477 2532 2743 2954 4431 5486 5908 8229 8862 10972 16458 17724 19201 32916 38402 57603 76804 115206 230412