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108169344 = 273410433
BaseRepresentation
bin1100111001010…
…00100010000000
321112112120110000
412130220202000
5210142404334
614422240000
72452265343
oct634504200
9245476400
10108169344
1156071258
1230286000
131954403a
141051a45a
15976a299
hex6728880

108169344 has 80 divisors (see below), whose sum is σ = 321941070. Its totient is φ = 36052992.

The previous prime is 108169319. The next prime is 108169387. The reversal of 108169344 is 443961801.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 21902400 = 9288^2 + 4680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108169299 and 108169308.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5152 + ... + 15584.

Almost surely, 2108169344 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 108169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160970535).

108169344 is an abundant number, since it is smaller than the sum of its proper divisors (213771726).

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

108169344 is an equidigital number, since it uses as much as digits as its factorization.

108169344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10459 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 108169344 is about 10400.4492210673. The cubic root of 108169344 is about 476.4690900945.

The spelling of 108169344 in words is "one hundred eight million, one hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 10433 20866 31299 41732 62598 83464 93897 125196 166928 187794 250392 281691 333856 375588 500784 563382 667712 751176 845073 1001568 1126764 1335424 1502352 1690146 2003136 2253528 3004704 3380292 4006272 4507056 6009408 6760584 9014112 12018816 13521168 18028224 27042336 36056448 54084672 108169344