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68306688 = 2832231289
BaseRepresentation
bin1000001001001…
…00011100000000
311202112100011100
410010210130000
5114441303223
610440014400
71456411602
oct404443400
9152470140
1068306688
113561490a
121aa61400
13111c7b78
149101172
155ee4043
hex4124700

68306688 has 108 divisors (see below), whose sum is σ = 205667280. Its totient is φ = 21762048.

The previous prime is 68306683. The next prime is 68306713. The reversal of 68306688 is 88660386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68306683) 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 11 ways as a sum of consecutive naturals, for example, 52348 + ... + 53636.

Almost surely, 268306688 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 68306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102833640).

68306688 is an abundant number, since it is smaller than the sum of its proper divisors (137360592).

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

68306688 is a wasteful number, since it uses less digits than its factorization.

68306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 68306688 is about 8264.7860226385. The cubic root of 68306688 is about 408.7782148130.

The spelling of 68306688 in words is "sixty-eight million, three hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1289 1472 1656 2208 2304 2578 2944 3312 3867 4416 5156 5888 6624 7734 8832 10312 11601 13248 15468 17664 20624 23202 26496 29647 30936 41248 46404 52992 59294 61872 82496 88941 92808 118588 123744 164992 177882 185616 237176 247488 266823 329984 355764 371232 474352 494976 533646 711528 742464 948704 989952 1067292 1423056 1484928 1897408 2134584 2846112 2969856 3794816 4269168 5692224 7589632 8538336 11384448 17076672 22768896 34153344 68306688