Search a number
-
+
238428 = 223237179
BaseRepresentation
bin111010001101011100
3110010001200
4322031130
530112203
65035500
72012061
oct721534
9403050
10238428
11153153
12b5b90
13846a8
1462c68
154a9a3
hex3a35c

238428 has 36 divisors (see below), whose sum is σ = 622440. Its totient is φ = 76896.

The previous prime is 238423. The next prime is 238439. The reversal of 238428 is 824832.

238428 is a `hidden beast` number, since 238 + 428 = 666.

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

It is a super-3 number, since 3×2384283 = 40662401303336256, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238423) by changing a digit.

238428 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 11 ways as a sum of consecutive naturals, for example, 1243 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (17290).

2238428 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 238428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

238428 is an abundant number, since it is smaller than the sum of its proper divisors (384012).

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

238428 is a wasteful number, since it uses less digits than its factorization.

238428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 238428 is about 488.2908969047. The cubic root of 238428 is about 62.0086703102.

It can be divided in two parts, 238 and 428, that added together give a palindrome (666).

The spelling of 238428 in words is "two hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 179 222 333 358 444 537 666 716 1074 1332 1611 2148 3222 6444 6623 13246 19869 26492 39738 59607 79476 119214 238428