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238830 = 23519419
BaseRepresentation
bin111010010011101110
3110010121120
4322103232
530120310
65041410
72013204
oct722356
9403546
10238830
11153489
12b6266
1384927
1463074
154ab70
hex3a4ee

238830 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 60192.

The previous prime is 238829. The next prime is 238837. The reversal of 238830 is 38832.

It is a self number, because there is not a number n which added to its sum of digits gives 238830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238837) 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, 361 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2238830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

238830 is an abundant number, since it is smaller than the sum of its proper divisors (365970).

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

238830 is a wasteful number, since it uses less digits than its factorization.

238830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448.

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

The square root of 238830 is about 488.7023634074. The cubic root of 238830 is about 62.0435005160.

The spelling of 238830 in words is "two hundred thirty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 419 570 838 1257 2095 2514 4190 6285 7961 12570 15922 23883 39805 47766 79610 119415 238830