Search a number
-
+
300528030138 = 23729383644227
BaseRepresentation
bin1000101111110001101…
…11011101000110111010
31001201201022111201220220
410113320313131012322
514410440133431023
6350021034400510
730466236051660
oct4277067350672
91051638451826
10300528030138
111064a9269146
124a2b2290136
132245534918b
141078d312c30
157c3dc123e3
hex45f8ddd1ba

300528030138 has 64 divisors (see below), whose sum is σ = 712464629760. Its totient is φ = 82687695552.

The previous prime is 300528030097. The next prime is 300528030169. The reversal of 300528030138 is 831030825003.

It is a junction number, because it is equal to n+sod(n) for n = 300528030099 and 300528030108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144381 + ... + 788607.

It is an arithmetic number, because the mean of its divisors is an integer number (11132259840).

Almost surely, 2300528030138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300528030138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356232314880).

300528030138 is an abundant number, since it is smaller than the sum of its proper divisors (411936599622).

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

300528030138 is a wasteful number, since it uses less digits than its factorization.

300528030138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644651.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 300528030138 in words is "three hundred billion, five hundred twenty-eight million, thirty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 383 406 609 766 1149 1218 2298 2681 5362 8043 11107 16086 22214 33321 66642 77749 155498 233247 466494 644227 1288454 1932681 3865362 4509589 9019178 13528767 18682583 27057534 37365166 56047749 112095498 130778081 246738941 261556162 392334243 493477882 740216823 784668486 1480433646 1727172587 3454345174 5181517761 7155429289 10363035522 14310858578 21466287867 42932575734 50088005023 100176010046 150264015069 300528030138