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68105344 = 271573389
BaseRepresentation
bin1000000111100…
…11010010000000
311202011002222011
410003303102000
5114413332334
610431422304
71454612566
oct403632200
9152132864
1068105344
113549760a
121a984994
1311157328
14908ba36
155ea4564
hex40f3480

68105344 has 32 divisors (see below), whose sum is σ = 136583100. Its totient is φ = 33825792.

The previous prime is 68105333. The next prime is 68105353. The reversal of 68105344 is 44350186.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 2689600 = 8088^2 + 1640^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18402 + ... + 21790.

Almost surely, 268105344 is an apocalyptic number.

68105344 is a gapful number since it is divisible by the number (64) 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 68105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68291550).

68105344 is an abundant number, since it is smaller than the sum of its proper divisors (68477756).

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

68105344 is a wasteful number, since it uses less digits than its factorization.

68105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 68105344 is about 8252.5961975611. The cubic root of 68105344 is about 408.3761749117.

The spelling of 68105344 in words is "sixty-eight million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 3389 5024 6778 10048 13556 20096 27112 54224 108448 216896 433792 532073 1064146 2128292 4256584 8513168 17026336 34052672 68105344