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106344342 = 232133311373
BaseRepresentation
bin1100101011010…
…10111110010110
321102002212000100
412111222332112
5204211004332
614315154530
72430624546
oct625527626
9242085010
10106344342
1155035095
122b745a46
1319055460
14101a3326
15950967c
hex656af96

106344342 has 48 divisors (see below), whose sum is σ = 249067728. Its totient is φ = 32598720.

The previous prime is 106344319. The next prime is 106344347. The reversal of 106344342 is 243443601.

It is a super-2 number, since 2×1063443422 = 22618238150825928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106344347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76768 + ... + 78140.

It is an arithmetic number, because the mean of its divisors is an integer number (5188911).

Almost surely, 2106344342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106344342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124533864).

106344342 is an abundant number, since it is smaller than the sum of its proper divisors (142723386).

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

106344342 is a wasteful number, since it uses less digits than its factorization.

106344342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 106344342 is about 10312.3393078389. The cubic root of 106344342 is about 473.7742609343.

Adding to 106344342 its reverse (243443601), we get a palindrome (349787943).

The spelling of 106344342 in words is "one hundred six million, three hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 331 662 993 1373 1986 2746 2979 4119 4303 5958 8238 8606 12357 12909 17849 24714 25818 35698 38727 53547 77454 107094 160641 321282 454463 908926 1363389 2726778 4090167 5908019 8180334 11816038 17724057 35448114 53172171 106344342