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68356288 = 2671121397
BaseRepresentation
bin1000001001100…
…00100011000000
311202121212012101
410010300203000
5114444400123
610441040144
71460006320
oct404604300
9152555171
1068356288
1135649100
121aa86054
1311214610
149115280
156003aad
hex41308c0

68356288 has 168 divisors, whose sum is σ = 185395616. Its totient is φ = 24330240.

The previous prime is 68356261. The next prime is 68356289. The reversal of 68356288 is 88265386.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (68356289) 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 23 ways as a sum of consecutive naturals, for example, 704656 + ... + 704752.

Almost surely, 268356288 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 68356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92697808).

68356288 is an abundant number, since it is smaller than the sum of its proper divisors (117039328).

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

68356288 is a wasteful number, since it uses less digits than its factorization.

68356288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The square root of 68356288 is about 8267.7861607567. The cubic root of 68356288 is about 408.8771338426.

It can be divided in two parts, 68356 and 288, that added together give a square (68644 = 2622).

The spelling of 68356288 in words is "sixty-eight million, three hundred fifty-six thousand, two hundred eighty-eight".