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238350 = 23527227
BaseRepresentation
bin111010001100001110
3110002221210
4322030032
530111400
65035250
72011620
oct721416
9402853
10238350
11153092
12b5b26
1384648
1462c10
154a950
hex3a30e

238350 has 48 divisors (see below), whose sum is σ = 678528. Its totient is φ = 54240.

The previous prime is 238339. The next prime is 238361. The reversal of 238350 is 53832.

238350 is nontrivially palindromic in base 13.

238350 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238339) and next prime (238361).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2238350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264).

238350 is an abundant number, since it is smaller than the sum of its proper divisors (440178).

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

238350 is a wasteful number, since it uses less digits than its factorization.

238350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 238350 is about 488.2110199494. The cubic root of 238350 is about 62.0019076763.

The spelling of 238350 in words is "two hundred thirty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 227 350 454 525 681 1050 1135 1362 1589 2270 3178 3405 4767 5675 6810 7945 9534 11350 15890 17025 23835 34050 39725 47670 79450 119175 238350