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14342112 = 2532192621
BaseRepresentation
bin110110101101…
…011111100000
3222222122200100
4312231133200
512132421422
61231222400
7232622511
oct66553740
928878610
1014342112
118106494
124977a00
132c82075
141c94a08
1513d47ac
hexdad7e0

14342112 has 72 divisors (see below), whose sum is σ = 42948360. Its totient is φ = 4527360.

The previous prime is 14342099. The next prime is 14342113. The reversal of 14342112 is 21124341.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14342113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4162 + ... + 6782.

It is an arithmetic number, because the mean of its divisors is an integer number (596505).

Almost surely, 214342112 is an apocalyptic number.

14342112 is a gapful number since it is divisible by the number (12) 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 14342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21474180).

14342112 is an abundant number, since it is smaller than the sum of its proper divisors (28606248).

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

14342112 is a wasteful number, since it uses less digits than its factorization.

14342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2645 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14342112 is about 3787.0980974884. The cubic root of 14342112 is about 242.9616359696.

Adding to 14342112 its reverse (21124341), we get a palindrome (35466453).

The spelling of 14342112 in words is "fourteen million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2621 2736 5242 5472 7863 10484 15726 20968 23589 31452 41936 47178 49799 62904 83872 94356 99598 125808 149397 188712 199196 251616 298794 377424 398392 448191 597588 754848 796784 896382 1195176 1593568 1792764 2390352 3585528 4780704 7171056 14342112