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68313216 = 273414339
BaseRepresentation
bin1000001001001…
…10000010000000
311202112200010010
410010212002000
5114442010331
610440104520
71456436616
oct404460200
9152480103
1068313216
1135619804
121aa65140
13111cab2a
1491036b6
155ee5e46
hex4126080

68313216 has 64 divisors (see below), whose sum is σ = 185925600. Its totient is φ = 22210560.

The previous prime is 68313199. The next prime is 68313221. The reversal of 68313216 is 61231386.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13575 + ... + 17913.

Almost surely, 268313216 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 68313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92962800).

68313216 is an abundant number, since it is smaller than the sum of its proper divisors (117612384).

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

68313216 is a wasteful number, since it uses less digits than its factorization.

68313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4385 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 68313216 is about 8265.1809417580. The cubic root of 68313216 is about 408.7912365696.

The spelling of 68313216 in words is "sixty-eight million, three hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 4339 5248 7872 8678 13017 15744 17356 26034 34712 52068 69424 104136 138848 177899 208272 277696 355798 416544 533697 555392 711596 833088 1067394 1423192 1666176 2134788 2846384 4269576 5692768 8539152 11385536 17078304 22771072 34156608 68313216