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68342064 = 24374593
BaseRepresentation
bin1000001001011…
…01000100110000
311202121010200120
410010231010300
5114443421224
610440450240
71456620000
oct404550460
9152533616
1068342064
113563944a
121aa79980
131120acbb
149110000
155eee779
hex412d130

68342064 has 100 divisors (see below), whose sum is σ = 206310456. Its totient is φ = 19493376.

The previous prime is 68342063. The next prime is 68342081. The reversal of 68342064 is 46024386.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (68342063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114952 + ... + 115544.

Almost surely, 268342064 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 68342064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103155228).

68342064 is an abundant number, since it is smaller than the sum of its proper divisors (137968392).

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

68342064 is an equidigital number, since it uses as much as digits as its factorization.

68342064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 68342064 is about 8266.9259099136. The cubic root of 68342064 is about 408.8487713126.

The spelling of 68342064 in words is "sixty-eight million, three hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 593 686 784 1029 1176 1186 1372 1779 2058 2352 2372 2401 2744 3558 4116 4151 4744 4802 5488 7116 7203 8232 8302 9488 9604 12453 14232 14406 16464 16604 19208 24906 28464 28812 29057 33208 38416 49812 57624 58114 66416 87171 99624 115248 116228 174342 199248 203399 232456 348684 406798 464912 610197 697368 813596 1220394 1394736 1423793 1627192 2440788 2847586 3254384 4271379 4881576 5695172 8542758 9763152 11390344 17085516 22780688 34171032 68342064