Search a number
-
+
310300068 = 2231313714519
BaseRepresentation
bin10010011111101…
…100110110100100
3210121212212200010
4102133230312210
51113414100233
650442450220
710455335631
oct2237546644
9717785603
10310300068
1114a17a041
1287b03970
134c396110
142d2d5188
151c395b63
hex127ecda4

310300068 has 48 divisors (see below), whose sum is σ = 785473920. Its totient is φ = 94773504.

The previous prime is 310300037. The next prime is 310300069. The reversal of 310300068 is 860003013.

It is a super-2 number, since 2×3103000682 = 192572264401609248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (310300069) 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, 14113 + ... + 28631.

It is an arithmetic number, because the mean of its divisors is an integer number (16364040).

Almost surely, 2310300068 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 310300068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392736960).

310300068 is an abundant number, since it is smaller than the sum of its proper divisors (475173852).

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

310300068 is a wasteful number, since it uses less digits than its factorization.

310300068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14676 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 310300068 is about 17615.3361591540. The cubic root of 310300068 is about 677.0082436139.

The spelling of 310300068 in words is "three hundred ten million, three hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1644 1781 3562 5343 7124 10686 14519 21372 29038 43557 58076 87114 174228 188747 377494 566241 754988 1132482 1989103 2264964 3978206 5967309 7956412 11934618 23869236 25858339 51716678 77575017 103433356 155150034 310300068