Search a number
-
+
305495960 = 235711271127
BaseRepresentation
bin10010001101010…
…111111110011000
3210021211210200012
4102031113332120
51111201332320
650151501052
710366446530
oct2215277630
9707753605
10305495960
11147498700
1286387788
134b3a3553
142c8044c0
151bc474c5
hex12357f98

305495960 has 192 divisors, whose sum is σ = 882524160. Its totient is φ = 93139200.

The previous prime is 305495929. The next prime is 305495999. The reversal of 305495960 is 69594503.

305495960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2405417 + ... + 2405543.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2305495960 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 305495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

305495960 is an abundant number, since it is smaller than the sum of its proper divisors (577028200).

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

305495960 is a wasteful number, since it uses less digits than its factorization.

305495960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

The square root of 305495960 is about 17478.4427223938. The cubic root of 305495960 is about 673.4962115091.

The spelling of 305495960 in words is "three hundred five million, four hundred ninety-five thousand, nine hundred sixty".