Search a number
-
+
68307312 = 2434161569
BaseRepresentation
bin1000001001001…
…00100101110000
311202112101000110
410010210211300
5114441313222
610440021320
71456413453
oct404444560
9152471013
1068307312
1135615327
121aa61840
13111c8238
14910149a
155ee430c
hex4124970

68307312 has 80 divisors (see below), whose sum is σ = 184050720. Its totient is φ = 21811200.

The previous prime is 68307311. The next prime is 68307359. The reversal of 68307312 is 21370386.

It is a self number, because there is not a number n which added to its sum of digits gives 68307312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68307311) 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, 119764 + ... + 120332.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 268307312 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 68307312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

68307312 is an abundant number, since it is smaller than the sum of its proper divisors (115743408).

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

68307312 is a wasteful number, since it uses less digits than its factorization.

68307312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 68307312 is about 8264.8237730759. The cubic root of 68307312 is about 408.7794595756.

Adding to 68307312 its reverse (21370386), we get a palindrome (89677698).

The spelling of 68307312 in words is "sixty-eight million, three hundred seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 61 82 122 123 164 183 244 246 328 366 488 492 569 656 732 976 984 1138 1464 1707 1968 2276 2501 2928 3414 4552 5002 6828 7503 9104 10004 13656 15006 20008 23329 27312 30012 34709 40016 46658 60024 69418 69987 93316 104127 120048 138836 139974 186632 208254 277672 279948 373264 416508 555344 559896 833016 1119792 1423069 1666032 2846138 4269207 5692276 8538414 11384552 17076828 22769104 34153656 68307312