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240834 = 23114189
BaseRepresentation
bin111010110011000010
3110020100210
4322303002
530201314
65054550
72022066
oct726302
9406323
10240834
11154a40
12b7456
1385809
1463aa6
154b559
hex3acc2

240834 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 70400.

The previous prime is 240829. The next prime is 240841. The reversal of 240834 is 438042.

It is a happy number.

240834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 240834.

It is an unprimeable number.

240834 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, 2662 + ... + 2750.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2240834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

240834 is an abundant number, since it is smaller than the sum of its proper divisors (303486).

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

240834 is a wasteful number, since it uses less digits than its factorization.

240834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 240834 is about 490.7484080463. The cubic root of 240834 is about 62.2165511177.

Adding to 240834 its reverse (438042), we get a palindrome (678876).

It can be divided in two parts, 2408 and 34, that added together give a palindrome (2442).

The spelling of 240834 in words is "two hundred forty thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 89 123 178 246 267 451 534 902 979 1353 1958 2706 2937 3649 5874 7298 10947 21894 40139 80278 120417 240834