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68344224 = 25313232381
BaseRepresentation
bin1000001001011…
…01100110100000
311202121020122120
410010231212200
5114444003344
610440504240
71456626204
oct404554640
9152536576
1068344224
1135640033
121aa7b080
131120bc90
149110b04
156000219
hex412d9a0

68344224 has 96 divisors (see below), whose sum is σ = 201688704. Its totient is φ = 20106240.

The previous prime is 68344223. The next prime is 68344229. The reversal of 68344224 is 42244386.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68344223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27514 + ... + 29894.

It is an arithmetic number, because the mean of its divisors is an integer number (2100924).

Almost surely, 268344224 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 68344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100844352).

68344224 is an abundant number, since it is smaller than the sum of its proper divisors (133344480).

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

68344224 is a wasteful number, since it uses less digits than its factorization.

68344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2422 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 68344224 is about 8267.0565499457. The cubic root of 68344224 is about 408.8530785869.

The spelling of 68344224 in words is "sixty-eight million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2381 2392 3588 4762 4784 7143 7176 9524 9568 14286 14352 19048 28572 28704 30953 38096 54763 57144 61906 76192 92859 109526 114288 123812 164289 185718 219052 228576 247624 328578 371436 438104 495248 657156 711919 742872 876208 990496 1314312 1423838 1485744 1752416 2135757 2628624 2847676 2971488 4271514 5257248 5695352 8543028 11390704 17086056 22781408 34172112 68344224