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68286336 = 273792251
BaseRepresentation
bin1000001000111…
…11011110000000
311202111022020120
410010133132000
5114440130321
610435340240
71456265346
oct404373600
9152438216
1068286336
1135600598
121aa51680
13111bb821
1490d7996
155edcec6
hex411f780

68286336 has 64 divisors (see below), whose sum is σ = 183763200. Its totient is φ = 22464000.

The previous prime is 68286319. The next prime is 68286343. The reversal of 68286336 is 63368286.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29211 + ... + 31461.

It is an arithmetic number, because the mean of its divisors is an integer number (2871300).

Almost surely, 268286336 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 68286336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91881600).

68286336 is an abundant number, since it is smaller than the sum of its proper divisors (115476864).

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

68286336 is a wasteful number, since it uses less digits than its factorization.

68286336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2335 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 68286336 is about 8263.5546830647. The cubic root of 68286336 is about 408.7376122460.

The spelling of 68286336 in words is "sixty-eight million, two hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2251 2528 3792 4502 5056 6753 7584 9004 10112 13506 15168 18008 27012 30336 36016 54024 72032 108048 144064 177829 216096 288128 355658 432192 533487 711316 864384 1066974 1422632 2133948 2845264 4267896 5690528 8535792 11381056 17071584 22762112 34143168 68286336