Search a number
-
+
201344 = 2711213
BaseRepresentation
bin110001001010000000
3101020012012
4301022000
522420334
64152052
71466003
oct611200
9336165
10201344
11128300
1298628
1370850
145353a
153e9ce
hex31280

201344 has 48 divisors (see below), whose sum is σ = 474810. Its totient is φ = 84480.

The previous prime is 201337. The next prime is 201359. The reversal of 201344 is 443102.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 7744 = 440^2 + 88^2 .

It is an unprimeable number.

201344 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 5 ways as a sum of consecutive naturals, for example, 15482 + ... + 15494.

2201344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237405).

201344 is an abundant number, since it is smaller than the sum of its proper divisors (273466).

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

201344 is a wasteful number, since it uses less digits than its factorization.

201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 201344 is about 448.7137171962. The cubic root of 201344 is about 58.6110584185.

Adding to 201344 its reverse (443102), we get a palindrome (644446).

It can be divided in two parts, 201 and 344, that added together give a palindrome (545).

The spelling of 201344 in words is "two hundred one thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 176 208 242 286 352 416 484 572 704 832 968 1144 1408 1573 1664 1936 2288 3146 3872 4576 6292 7744 9152 12584 15488 18304 25168 50336 100672 201344