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241344 = 2632419
BaseRepresentation
bin111010111011000000
3110021001200
4322323000
530210334
65101200
72023425
oct727300
9407050
10241344
11155364
12b7800
1385b0c
1463d4c
154b799
hex3aec0

241344 has 42 divisors (see below), whose sum is σ = 693420. Its totient is φ = 80256.

The previous prime is 241343. The next prime is 241361. The reversal of 241344 is 443142.

241344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 241344.

It is not an unprimeable number, because it can be changed into a prime (241343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 367 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (16510).

2241344 is an apocalyptic number.

241344 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 241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346710).

241344 is an abundant number, since it is smaller than the sum of its proper divisors (452076).

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

241344 is a wasteful number, since it uses less digits than its factorization.

241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 241344 is about 491.2677477710. The cubic root of 241344 is about 62.2604375976.

Adding to 241344 its reverse (443142), we get a palindrome (684486).

It can be divided in two parts, 241 and 344, that added together give a palindrome (585).

The spelling of 241344 in words is "two hundred forty-one thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 419 576 838 1257 1676 2514 3352 3771 5028 6704 7542 10056 13408 15084 20112 26816 30168 40224 60336 80448 120672 241344