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68317344 = 253426357
BaseRepresentation
bin1000001001001…
…11000010100000
311202112212210000
410010213002200
5114442123334
610440140000
71456454634
oct404470240
9152485700
1068317344
1135621917
121aa67600
13111cc984
149104dc4
155ee7299
hex41270a0

68317344 has 60 divisors (see below), whose sum is σ = 200927034. Its totient is φ = 22771584.

The previous prime is 68317343. The next prime is 68317351. The reversal of 68317344 is 44371386.

It can be written as a sum of positive squares in only one way, i.e., 61027344 + 7290000 = 7812^2 + 2700^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68317299 and 68317308.

It is not an unprimeable number, because it can be changed into a prime (68317343) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10587 + ... + 15770.

Almost surely, 268317344 is an apocalyptic number.

It is an amenable number.

68317344 is an abundant number, since it is smaller than the sum of its proper divisors (132609690).

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

68317344 is a wasteful number, since it uses less digits than its factorization.

68317344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26379 (or 26362 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 68317344 is about 8265.4306602863. The cubic root of 68317344 is about 408.7994704875.

The spelling of 68317344 in words is "sixty-eight million, three hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 26357 52714 79071 105428 158142 210856 237213 316284 421712 474426 632568 711639 843424 948852 1265136 1423278 1897704 2134917 2530272 2846556 3795408 4269834 5693112 7590816 8539668 11386224 17079336 22772448 34158672 68317344