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238326 = 231123157
BaseRepresentation
bin111010001011110110
3110002220220
4322023312
530111301
65035210
72011554
oct721366
9402826
10238326
11153070
12b5b06
138462a
1462bd4
154a936
hex3a2f6

238326 has 32 divisors (see below), whose sum is σ = 546048. Its totient is φ = 68640.

The previous prime is 238321. The next prime is 238331. The reversal of 238326 is 623832.

It is an interprime number because it is at equal distance from previous prime (238321) and next prime (238331).

It is a junction number, because it is equal to n+sod(n) for n = 238296 and 238305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1440 + ... + 1596.

It is an arithmetic number, because the mean of its divisors is an integer number (17064).

238326 is a Friedman number, since it can be written as 62^3-8+3*2, using all its digits and the basic arithmetic operations.

2238326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273024).

238326 is an abundant number, since it is smaller than the sum of its proper divisors (307722).

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

238326 is a wasteful number, since it uses less digits than its factorization.

238326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its digits is 1728, while the sum is 24.

The square root of 238326 is about 488.1864397953. The cubic root of 238326 is about 61.9998265691. Note that the first 3 decimals are identical.

The spelling of 238326 in words is "two hundred thirty-eight thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 157 253 314 471 506 759 942 1518 1727 3454 3611 5181 7222 10362 10833 21666 39721 79442 119163 238326