Search a number
-
+
6305244 = 22311371291
BaseRepresentation
bin11000000011010111011100
3102212100011120
4120003113130
53103231434
6343050540
7104410431
oct30032734
912770146
106305244
113617250
122140a50
1313c9c1a
14ba1b88
15848349
hex6035dc

6305244 has 48 divisors (see below), whose sum is σ = 16496256. Its totient is φ = 1857600.

The previous prime is 6305239. The next prime is 6305263. The reversal of 6305244 is 4425036.

It is a super-2 number, since 2×63052442 = 79512203799072, which contains 22 as substring.

It is a d-powerful number, because it can be written as 6 + 38 + 0 + 55 + 221 + 46 + 411 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4239 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (343672).

Almost surely, 26305244 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 6305244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248128).

6305244 is an abundant number, since it is smaller than the sum of its proper divisors (10191012).

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

6305244 is a wasteful number, since it uses less digits than its factorization.

6305244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 6305244 is about 2511.0244921147. The cubic root of 6305244 is about 184.7427053883.

The spelling of 6305244 in words is "six million, three hundred five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1291 1628 2442 2582 3873 4884 5164 7746 14201 15492 28402 42603 47767 56804 85206 95534 143301 170412 191068 286602 525437 573204 1050874 1576311 2101748 3152622 6305244