Search a number
-
+
238380 = 223529137
BaseRepresentation
bin111010001100101100
3110002222220
4322030230
530112010
65035340
72011662
oct721454
9402886
10238380
1115310a
12b5b50
138466c
1462c32
154a970
hex3a32c

238380 has 48 divisors (see below), whose sum is σ = 695520. Its totient is φ = 60928.

The previous prime is 238373. The next prime is 238397. The reversal of 238380 is 83832.

238380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 238380.

It is a congruent number.

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, 1672 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (14490).

2238380 is an apocalyptic number.

238380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347760).

238380 is an abundant number, since it is smaller than the sum of its proper divisors (457140).

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

238380 is a wasteful number, since it uses less digits than its factorization.

238380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 238380 is about 488.2417434018. The cubic root of 238380 is about 62.0045088639.

The spelling of 238380 in words is "two hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 137 145 174 274 290 348 411 435 548 580 685 822 870 1370 1644 1740 2055 2740 3973 4110 7946 8220 11919 15892 19865 23838 39730 47676 59595 79460 119190 238380