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106334244 = 223223167769
BaseRepresentation
bin1100101011010…
…00100000100100
321102002100011100
412111220200210
5204210143434
614315040100
72430553242
oct625504044
9242070140
10106334244
1155028545
122b740030
1319050993
141019d792
159506699
hex6568824

106334244 has 72 divisors (see below), whose sum is σ = 282522240. Its totient is φ = 33656832.

The previous prime is 106334233. The next prime is 106334251. The reversal of 106334244 is 442433601.

106334244 is a `hidden beast` number, since 1 + 0 + 633 + 4 + 24 + 4 = 666.

It is a super-3 number, since 3×1063342443 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137892 + ... + 138660.

It is an arithmetic number, because the mean of its divisors is an integer number (3923920).

Almost surely, 2106334244 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 106334244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261120).

106334244 is an abundant number, since it is smaller than the sum of its proper divisors (176187996).

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

106334244 is a wasteful number, since it uses less digits than its factorization.

106334244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 964 counting only the distinct ones).

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

The square root of 106334244 is about 10311.8496885864. The cubic root of 106334244 is about 473.7592646063.

Adding to 106334244 its reverse (442433601), we get a palindrome (548767845).

The spelling of 106334244 in words is "one hundred six million, three hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 167 207 276 334 414 501 668 769 828 1002 1503 1538 2004 2307 3006 3076 3841 4614 6012 6921 7682 9228 11523 13842 15364 17687 23046 27684 34569 35374 46092 53061 69138 70748 106122 128423 138276 159183 212244 256846 318366 385269 513692 636732 770538 1155807 1541076 2311614 2953729 4623228 5907458 8861187 11814916 17722374 26583561 35444748 53167122 106334244