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305042511330 = 2345376595693
BaseRepresentation
bin1000111000001011111…
…00110101010111100010
31002011100221022010220000
410130011330311113202
514444211340330310
6352045023400430
731016144364504
oct4340574652742
91064327263800
10305042511330
111084055aa737
124b152153116
13229c472311b
1410a9ab0bd74
157e052114c0
hex4705f355e2

305042511330 has 40 divisors (see below), whose sum is σ = 820225421532. Its totient is φ = 81344669472.

The previous prime is 305042511311. The next prime is 305042511337. The reversal of 305042511330 is 33115240503.

305042511330 is a `hidden beast` number, since 3 + 0 + 504 + 25 + 1 + 133 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301470177969 + 3572333361 = 549063^2 + 59769^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 305042511294 and 305042511303.

It is not an unprimeable number, because it can be changed into a prime (305042511337) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188297037 + ... + 188298656.

Almost surely, 2305042511330 is an apocalyptic number.

305042511330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

305042511330 is an abundant number, since it is smaller than the sum of its proper divisors (515182910202).

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

305042511330 is a wasteful number, since it uses less digits than its factorization.

305042511330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376595712 (or 376595703 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 305042511330 its reverse (33115240503), we get a palindrome (338157751833).

The spelling of 305042511330 in words is "three hundred five billion, forty-two million, five hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 376595693 753191386 1129787079 1882978465 2259574158 3389361237 3765956930 5648935395 6778722474 10168083711 11297870790 16946806185 20336167422 30504251133 33893612370 50840418555 61008502266 101680837110 152521255665 305042511330