Search a number
-
+
6341874 = 2372113753
BaseRepresentation
bin11000001100010011110010
3102221012102020
4120030103302
53110414444
6343532310
7104622300
oct30142362
912835366
106341874
113641820
12215a096
1314107b6
14bb1270
15854119
hex60c4f2

6341874 has 96 divisors (see below), whose sum is σ = 16842816. Its totient is φ = 1572480.

The previous prime is 6341861. The next prime is 6341879. The reversal of 6341874 is 4781436.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6341879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119632 + ... + 119684.

It is an arithmetic number, because the mean of its divisors is an integer number (175446).

Almost surely, 26341874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6341874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421408).

6341874 is an abundant number, since it is smaller than the sum of its proper divisors (10500942).

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

6341874 is a wasteful number, since it uses less digits than its factorization.

6341874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 6341874 is about 2518.3077651471. The cubic root of 6341874 is about 185.0997660088.

The spelling of 6341874 in words is "six million, three hundred forty-one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 49 53 66 74 77 98 106 111 147 154 159 222 231 259 294 318 371 407 462 518 539 583 742 777 814 1078 1113 1166 1221 1554 1617 1749 1813 1961 2226 2442 2597 2849 3234 3498 3626 3922 4081 5194 5439 5698 5883 7791 8162 8547 10878 11766 12243 13727 15582 17094 19943 21571 24486 27454 28567 39886 41181 43142 57134 59829 64713 82362 85701 96089 119658 129426 150997 171402 192178 288267 301994 452991 576534 905982 1056979 2113958 3170937 6341874