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68322264 = 23331131701
BaseRepresentation
bin1000001001010…
…00001111011000
311202120010112020
410010220033120
5114442303024
610440214440
71456505163
oct404501730
9152503466
1068322264
113562558a
121aa6a420
1311201c9a
149106ada
155ee8979
hex41283d8

68322264 has 64 divisors (see below), whose sum is σ = 177914880. Its totient is φ = 21840000.

The previous prime is 68322263. The next prime is 68322299. The reversal of 68322264 is 46222386.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68322263) 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, 97114 + ... + 97814.

It is an arithmetic number, because the mean of its divisors is an integer number (2779920).

Almost surely, 268322264 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 68322264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88957440).

68322264 is an abundant number, since it is smaller than the sum of its proper divisors (109592616).

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

68322264 is a wasteful number, since it uses less digits than its factorization.

68322264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

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

The square root of 68322264 is about 8265.7282800731. The cubic root of 68322264 is about 408.8092837354.

It can be divided in two parts, 68322 and 264, that added together give a palindrome (68586).

The spelling of 68322264 in words is "sixty-eight million, three hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 131 186 248 262 372 393 524 701 744 786 1048 1402 1572 2103 2804 3144 4061 4206 5608 8122 8412 12183 16244 16824 21731 24366 32488 43462 48732 65193 86924 91831 97464 130386 173848 183662 260772 275493 367324 521544 550986 734648 1101972 2203944 2846761 5693522 8540283 11387044 17080566 22774088 34161132 68322264