[go: up one dir, main page]

Search a number
-
+
68312328 = 23371492729
BaseRepresentation
bin1000001001001…
…01110100001000
311202112121220020
410010211310020
5114441443303
610440100440
71456434210
oct404456410
9152477806
1068312328
1135619077
121aa64720
13111ca5c6
149103240
155ee5a53
hex4125d08

68312328 has 64 divisors (see below), whose sum is σ = 196560000. Its totient is φ = 19379712.

The previous prime is 68312317. The next prime is 68312357. The reversal of 68312328 is 82321386.

It is a super-3 number, since 3×683123283 (a number of 24 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 23668 + ... + 26396.

It is an arithmetic number, because the mean of its divisors is an integer number (3071250).

Almost surely, 268312328 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 68312328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

68312328 is an abundant number, since it is smaller than the sum of its proper divisors (128247672).

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

68312328 is a wasteful number, since it uses less digits than its factorization.

68312328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2890 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 68312328 is about 8265.1272222513. The cubic root of 68312328 is about 408.7894652764.

The spelling of 68312328 in words is "sixty-eight million, three hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1043 1192 1788 2086 2729 3129 3576 4172 5458 6258 8187 8344 10916 12516 16374 19103 21832 25032 32748 38206 57309 65496 76412 114618 152824 229236 406621 458472 813242 1219863 1626484 2439726 2846347 3252968 4879452 5692694 8539041 9758904 11385388 17078082 22770776 34156164 68312328