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234024 = 23372199
BaseRepresentation
bin111001001000101000
3102220000120
4321020220
524442044
65003240
71663200
oct711050
9386016
10234024
1114a90a
12b3520
138269b
1461400
1549519
hex39228

234024 has 48 divisors (see below), whose sum is σ = 684000. Its totient is φ = 66528.

The previous prime is 234007. The next prime is 234029. The reversal of 234024 is 420432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 233994 and 234012.

It is not an unprimeable number, because it can be changed into a prime (234029) by changing a digit.

234024 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 11 ways as a sum of consecutive naturals, for example, 1077 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (14250).

2234024 is an apocalyptic number.

234024 is a gapful number since it is divisible by the number (24) 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 234024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342000).

234024 is an abundant number, since it is smaller than the sum of its proper divisors (449976).

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

234024 is a wasteful number, since it uses less digits than its factorization.

234024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 234024 is about 483.7602712088. The cubic root of 234024 is about 61.6245081542.

Adding to 234024 its reverse (420432), we get a palindrome (654456).

The spelling of 234024 in words is "two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 199 294 392 398 588 597 796 1176 1194 1393 1592 2388 2786 4179 4776 5572 8358 9751 11144 16716 19502 29253 33432 39004 58506 78008 117012 234024