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68305824 = 2532237173
BaseRepresentation
bin1000001001001…
…00001110100000
311202112021222100
410010210032200
5114441241244
610440010400
71456406226
oct404441640
9152467870
1068305824
11356141a4
121aa60a00
13111c7662
149100b16
155ee3b69
hex41243a0

68305824 has 36 divisors (see below), whose sum is σ = 194245506. Its totient is φ = 22768512.

The previous prime is 68305823. The next prime is 68305841. The reversal of 68305824 is 42850386.

It can be written as a sum of positive squares in only one way, i.e., 34433424 + 33872400 = 5868^2 + 5820^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (68305823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118299 + ... + 118874.

Almost surely, 268305824 is an apocalyptic number.

It is an amenable number.

68305824 is an abundant number, since it is smaller than the sum of its proper divisors (125939682).

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

68305824 is a wasteful number, since it uses less digits than its factorization.

68305824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237189 (or 237178 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68305824 is about 8264.7337525174. The cubic root of 68305824 is about 408.7764912831.

The spelling of 68305824 in words is "sixty-eight million, three hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 237173 474346 711519 948692 1423038 1897384 2134557 2846076 3794768 4269114 5692152 7589536 8538228 11384304 17076456 22768608 34152912 68305824