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68319328 = 25721117233
BaseRepresentation
bin1000001001001…
…11100001100000
311202112222111111
410010213201200
5114442204303
610440153104
71456463500
oct404474140
9152488444
1068319328
1135623360
121aa68794
131120084c
149105a00
155ee7b6d
hex4127860

68319328 has 144 divisors (see below), whose sum is σ = 181503504. Its totient is φ = 24944640.

The previous prime is 68319323. The next prime is 68319343. The reversal of 68319328 is 82391386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68319323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293100 + ... + 293332.

It is an arithmetic number, because the mean of its divisors is an integer number (1260441).

Almost surely, 268319328 is an apocalyptic number.

68319328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68319328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90751752).

68319328 is an abundant number, since it is smaller than the sum of its proper divisors (113184176).

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

68319328 is a wasteful number, since it uses less digits than its factorization.

68319328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 68319328 is about 8265.5506773596. The cubic root of 68319328 is about 408.8034277563.

The spelling of 68319328 in words is "sixty-eight million, three hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 68 77 88 98 112 119 136 154 176 187 196 224 233 238 272 308 352 374 392 466 476 539 544 616 748 784 833 932 952 1078 1232 1309 1496 1568 1631 1666 1864 1904 2156 2464 2563 2618 2992 3262 3332 3728 3808 3961 4312 5126 5236 5984 6524 6664 7456 7922 8624 9163 10252 10472 11417 13048 13328 15844 17248 17941 18326 20504 20944 22834 26096 26656 27727 31688 35882 36652 41008 41888 43571 45668 52192 55454 63376 71764 73304 82016 87142 91336 110908 125587 126752 143528 146608 174284 182672 194089 221816 251174 287056 293216 304997 348568 365344 388178 443632 502348 574112 609994 697136 776356 887264 1004696 1219988 1394272 1552712 2009392 2134979 2439976 3105424 4018784 4269958 4879952 6210848 8539916 9759904 17079832 34159664 68319328