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106440444 = 223211268789
BaseRepresentation
bin1100101100000…
…10011011111100
321102021201211200
412112002123330
5204222043234
614321215500
72431504665
oct626023374
9242251750
10106440444
11550a0310
122b791590
131908a116
14101ca36c
159527d99
hex65826fc

106440444 has 36 divisors (see below), whose sum is σ = 293518680. Its totient is φ = 32254560.

The previous prime is 106440409. The next prime is 106440457. The reversal of 106440444 is 444044601.

106440444 is a `hidden beast` number, since 10 + 644 + 0 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1064404442 = 22659136237834272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133999 + ... + 134790.

Almost surely, 2106440444 is an apocalyptic number.

It is an amenable number.

106440444 is an abundant number, since it is smaller than the sum of its proper divisors (187078236).

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

106440444 is a wasteful number, since it uses less digits than its factorization.

106440444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268810 (or 268805 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 106440444 is about 10316.9978191332. The cubic root of 106440444 is about 473.9169325139.

The spelling of 106440444 in words is "one hundred six million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 268789 537578 806367 1075156 1612734 2419101 2956679 3225468 4838202 5913358 8870037 9676404 11826716 17740074 26610111 35480148 53220222 106440444