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300305245312 = 2753202921817
BaseRepresentation
bin1000101111010111001…
…01100110010010000000
31001201010210022002121001
410113223211212102000
514410011120322222
6345542555341344
730460562316352
oct4275345462200
91051123262531
10300305245312
111063a4533656
124a24b751854
132241b145037
141076b8bd0d2
157c293a6e27
hex45eb966480

300305245312 has 64 divisors (see below), whose sum is σ = 609880735800. Its totient is φ = 147240198144.

The previous prime is 300305245283. The next prime is 300305245363. The reversal of 300305245312 is 213542503003.

It can be written as a sum of positive squares in 4 ways, for example, as 292663688256 + 7641557056 = 540984^2 + 87416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13753828 + ... + 13775644.

Almost surely, 2300305245312 is an apocalyptic number.

300305245312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300305245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304940367900).

300305245312 is an abundant number, since it is smaller than the sum of its proper divisors (309575490488).

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

300305245312 is a wasteful number, since it uses less digits than its factorization.

300305245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23913 (or 23901 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 300305245312 its reverse (213542503003), we get a palindrome (513847748315).

The spelling of 300305245312 in words is "three hundred billion, three hundred five million, two hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 2029 3392 4058 6784 8116 16232 21817 32464 43634 64928 87268 107537 129856 174536 215074 259712 349072 430148 698144 860296 1156301 1396288 1720592 2312602 2792576 3441184 4625204 6882368 9250408 13764736 18500816 37001632 44266693 74003264 88533386 148006528 177066772 354133544 708267088 1416534176 2346134729 2833068352 4692269458 5666136704 9384538916 18769077832 37538155664 75076311328 150152622656 300305245312