Search a number
-
+
6941304 = 23321753107
BaseRepresentation
bin11010011110101001111000
3111001122200100
4122132221320
53234110204
6404435400
7113000016
oct32365170
914048610
106941304
113a11117
1223a8b60
1315905a6
14cc98b6
15921a39
hex69ea78

6941304 has 96 divisors (see below), whose sum is σ = 20470320. Its totient is φ = 2116608.

The previous prime is 6941299. The next prime is 6941309. The reversal of 6941304 is 4031496.

6941304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6941299) and next prime (6941309).

It is a super-3 number, since 3×69413043 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6941309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64819 + ... + 64925.

Almost surely, 26941304 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 6941304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10235160).

6941304 is an abundant number, since it is smaller than the sum of its proper divisors (13529016).

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

6941304 is a wasteful number, since it uses less digits than its factorization.

6941304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6941304 is about 2634.6354586546. The cubic root of 6941304 is about 190.7569434641.

The spelling of 6941304 in words is "six million, nine hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 107 136 153 159 204 212 214 306 318 321 408 424 428 477 612 636 642 856 901 954 963 1224 1272 1284 1802 1819 1908 1926 2568 2703 3604 3638 3816 3852 5406 5457 5671 7208 7276 7704 8109 10812 10914 11342 14552 16218 16371 17013 21624 21828 22684 32436 32742 34026 43656 45368 51039 64872 65484 68052 96407 102078 130968 136104 192814 204156 289221 385628 408312 578442 771256 867663 1156884 1735326 2313768 3470652 6941304