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6342112 = 257231231
BaseRepresentation
bin11000001100010111100000
3102221012202001
4120030113200
53110421422
6343533344
7104623060
oct30142740
912835661
106342112
113641a17
12215a254
13141093a
14bb13a0
15854227
hex60c5e0

6342112 has 48 divisors (see below), whose sum is σ = 14902272. Its totient is φ = 2597760.

The previous prime is 6342107. The next prime is 6342137. The reversal of 6342112 is 2112436.

It is a self number, because there is not a number n which added to its sum of digits gives 6342112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4537 + ... + 5767.

It is an arithmetic number, because the mean of its divisors is an integer number (310464).

Almost surely, 26342112 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 6342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451136).

6342112 is an abundant number, since it is smaller than the sum of its proper divisors (8560160).

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

6342112 is a wasteful number, since it uses less digits than its factorization.

6342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1263 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 6342112 is about 2518.3550186580. The cubic root of 6342112 is about 185.1020814754.

Adding to 6342112 its reverse (2112436), we get a palindrome (8454548).

It can be divided in two parts, 63 and 42112, that multiplied together give a triangular number (2653056 = T2303).

The spelling of 6342112 in words is "six million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1231 1288 2462 2576 4924 5152 8617 9848 17234 19696 28313 34468 39392 56626 68936 113252 137872 198191 226504 275744 396382 453008 792764 906016 1585528 3171056 6342112