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541344 = 2535639
BaseRepresentation
bin10000100001010100000
31000111120210
42010022200
5114310334
615334120
74413156
oct2041240
91014523
10541344
1133a7a1
12221340
1315c52b
141013d6
15aa5e9
hex842a0

541344 has 24 divisors (see below), whose sum is σ = 1421280. Its totient is φ = 180416.

The previous prime is 541339. The next prime is 541349. The reversal of 541344 is 443145.

It is an interprime number because it is at equal distance from previous prime (541339) and next prime (541349).

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 541344.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541344.

It is not an unprimeable number, because it can be changed into a prime (541349) by changing a digit.

541344 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2724 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (59220).

2541344 is an apocalyptic number.

It is an amenable number.

541344 is an abundant number, since it is smaller than the sum of its proper divisors (879936).

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

541344 is a wasteful number, since it uses less digits than its factorization.

541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5644 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 541344 is about 735.7608307052. The cubic root of 541344 is about 81.5000313649.

Adding to 541344 its reverse (443145), we get a palindrome (984489).

The spelling of 541344 in words is "five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5639 11278 16917 22556 33834 45112 67668 90224 135336 180448 270672 541344