Search a number
-
+
6338460 = 2235149709
BaseRepresentation
bin11000001011011110011100
3102221000201210
4120023132130
53110312320
6343504420
7104606322
oct30133634
912830653
106338460
11363a1a7
122158110
13140c08b
14badd12
158530e0
hex60b79c

6338460 has 48 divisors (see below), whose sum is σ = 17892000. Its totient is φ = 1676544.

The previous prime is 6338417. The next prime is 6338471. The reversal of 6338460 is 648336.

6338460 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×63384603 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8586 + ... + 9294.

It is an arithmetic number, because the mean of its divisors is an integer number (372750).

Almost surely, 26338460 is an apocalyptic number.

6338460 is a gapful number since it is divisible by the number (60) 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 6338460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946000).

6338460 is an abundant number, since it is smaller than the sum of its proper divisors (11553540).

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

6338460 is a wasteful number, since it uses less digits than its factorization.

6338460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6338460 is about 2517.6298377641. The cubic root of 6338460 is about 185.0665453324.

The spelling of 6338460 in words is "six million, three hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 709 745 894 1418 1490 1788 2127 2235 2836 2980 3545 4254 4470 7090 8508 8940 10635 14180 21270 42540 105641 211282 316923 422564 528205 633846 1056410 1267692 1584615 2112820 3169230 6338460