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305005064 = 237132914447
BaseRepresentation
bin10010001011100…
…000001000001000
3210020220212021212
4102023200020020
51111040130224
650133152252
710362333410
oct2213401010
9706825255
10305005064
11147192901
128618b688
134b260c90
142c717640
151bb9bd0e
hex122e0208

305005064 has 64 divisors (see below), whose sum is σ = 728179200. Its totient is φ = 116492544.

The previous prime is 305005033. The next prime is 305005067. The reversal of 305005064 is 460500503.

It is not an unprimeable number, because it can be changed into a prime (305005067) 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, 13889 + ... + 28335.

It is an arithmetic number, because the mean of its divisors is an integer number (11377800).

Almost surely, 2305005064 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 305005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364089600).

305005064 is an abundant number, since it is smaller than the sum of its proper divisors (423174136).

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

305005064 is a wasteful number, since it uses less digits than its factorization.

305005064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14502 (or 14498 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 305005064 is about 17464.3941778694. The cubic root of 305005064 is about 673.1352751028.

Adding to 305005064 its reverse (460500503), we get a palindrome (765505567).

The spelling of 305005064 in words is "three hundred five million, five thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 728 754 812 1508 1624 2639 3016 5278 10556 14447 21112 28894 57788 101129 115576 187811 202258 375622 404516 418963 751244 809032 837926 1314677 1502488 1675852 2629354 2932741 3351704 5258708 5446519 5865482 10517416 10893038 11730964 21786076 23461928 38125633 43572152 76251266 152502532 305005064