Search a number
-
+
305861868 = 2232132572543
BaseRepresentation
bin10010001110110…
…001010011101100
3210022112101121100
4102032301103230
51111300034433
650203403100
710402532364
oct2216612354
9708471540
10305861868
11147718604
1286523490
134b4a0c70
142c89b9a4
151bcbab13
hex123b14ec

305861868 has 72 divisors (see below), whose sum is σ = 836192448. Its totient is φ = 93708288.

The previous prime is 305861863. The next prime is 305861893. The reversal of 305861868 is 868168503.

305861868 is a `hidden beast` number, since 3 + 0 + 586 + 1 + 8 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (305861863) 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, 119005 + ... + 121547.

It is an arithmetic number, because the mean of its divisors is an integer number (11613784).

Almost surely, 2305861868 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 305861868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418096224).

305861868 is an abundant number, since it is smaller than the sum of its proper divisors (530330580).

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

305861868 is a wasteful number, since it uses less digits than its factorization.

305861868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 305861868 is about 17488.9069984376. The cubic root of 305861868 is about 673.7649977443.

The spelling of 305861868 in words is "three hundred five million, eight hundred sixty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 257 468 514 771 1028 1542 2313 2543 3084 3341 4626 5086 6682 7629 9252 10023 10172 13364 15258 20046 22887 30069 30516 33059 40092 45774 60138 66118 91548 99177 120276 132236 198354 297531 396708 595062 653551 1190124 1307102 1960653 2614204 3921306 5881959 7842612 8496163 11763918 16992326 23527836 25488489 33984652 50976978 76465467 101953956 152930934 305861868