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230608 = 2472971
BaseRepresentation
bin111000010011010000
3102201100001
4320103100
524334413
64535344
71650220
oct702320
9381301
10230608
11148294
12b1554
1380c71
1460080
15484dd
hex384d0

230608 has 40 divisors (see below), whose sum is σ = 535680. Its totient is φ = 94080.

The previous prime is 230597. The next prime is 230611. The reversal of 230608 is 806032.

It is a congruent number.

It is an unprimeable number.

230608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3213 + ... + 3283.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2230608 is an apocalyptic number.

230608 is a gapful number since it is divisible by the number (28) 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 230608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

230608 is an abundant number, since it is smaller than the sum of its proper divisors (305072).

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

230608 is a wasteful number, since it uses less digits than its factorization.

230608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 230608 is about 480.2166177883. The cubic root of 230608 is about 61.3231972328.

It can be divided in two parts, 230 and 608, that added together give a palindrome (838).

The spelling of 230608 in words is "two hundred thirty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 71 112 116 142 203 232 284 406 464 497 568 812 994 1136 1624 1988 2059 3248 3976 4118 7952 8236 14413 16472 28826 32944 57652 115304 230608