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68313168 = 243271161101
BaseRepresentation
bin1000001001001…
…10000001010000
311202112200001100
410010212001100
5114442010133
610440104400
71456436520
oct404460120
9152480040
1068313168
1135619770
121aa65100
13111caac1
149103680
155ee5e13
hex4126050

68313168 has 240 divisors, whose sum is σ = 244662912. Its totient is φ = 17280000.

The previous prime is 68313163. The next prime is 68313169. The reversal of 68313168 is 86131386.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68313163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676318 + ... + 676418.

Almost surely, 268313168 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 68313168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122331456).

68313168 is an abundant number, since it is smaller than the sum of its proper divisors (176349744).

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

68313168 is a wasteful number, since it uses less digits than its factorization.

68313168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

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

The square root of 68313168 is about 8265.1780380098. The cubic root of 68313168 is about 408.7911408244.

It can be divided in two parts, 6831 and 3168, that added together give a palindrome (9999).

The spelling of 68313168 in words is "sixty-eight million, three hundred thirteen thousand, one hundred sixty-eight".