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106344 = 23327211
BaseRepresentation
bin11001111101101000
312101212200
4121331220
511400334
62140200
7622020
oct317550
9171780
10106344
1172997
1251660
1339534
142aa80
1521799
hex19f68

106344 has 48 divisors (see below), whose sum is σ = 330720. Its totient is φ = 30240.

The previous prime is 106331. The next prime is 106349. The reversal of 106344 is 443601.

It is a super-2 number, since 2×1063442 = 22618092672, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106349) 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, 399 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (6890).

2106344 is an apocalyptic number.

106344 is a gapful number since it is divisible by the number (14) 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 106344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165360).

106344 is an abundant number, since it is smaller than the sum of its proper divisors (224376).

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

106344 is a wasteful number, since it uses less digits than its factorization.

106344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106344 is about 326.1042778008. The cubic root of 106344 is about 47.3773753053.

Adding to 106344 its reverse (443601), we get a palindrome (549945).

The spelling of 106344 in words is "one hundred six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 211 252 422 504 633 844 1266 1477 1688 1899 2532 2954 3798 4431 5064 5908 7596 8862 11816 13293 15192 17724 26586 35448 53172 106344