Search a number
-
+
238280 = 23572337
BaseRepresentation
bin111010001011001000
3110002212012
4322023020
530111110
65035052
72011460
oct721310
9402765
10238280
11153029
12b5a88
13845c3
1462ba0
154a905
hex3a2c8

238280 has 64 divisors (see below), whose sum is σ = 656640. Its totient is φ = 76032.

The previous prime is 238267. The next prime is 238291. The reversal of 238280 is 82832.

238280 = T45 + T46 + ... + T114.

238280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

238280 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 15 ways as a sum of consecutive naturals, for example, 6422 + ... + 6458.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2238280 is an apocalyptic number.

238280 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 238280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

238280 is an abundant number, since it is smaller than the sum of its proper divisors (418360).

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

238280 is a wasteful number, since it uses less digits than its factorization.

238280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 238280 is about 488.1393243737. The cubic root of 238280 is about 61.9958373896.

The spelling of 238280 in words is "two hundred thirty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 37 40 46 56 70 74 92 115 140 148 161 184 185 230 259 280 296 322 370 460 518 644 740 805 851 920 1036 1288 1295 1480 1610 1702 2072 2590 3220 3404 4255 5180 5957 6440 6808 8510 10360 11914 17020 23828 29785 34040 47656 59570 119140 238280