Search a number
-
+
300300027030 = 232517669188843
BaseRepresentation
bin1000101111010110100…
…01101100010010010110
31001201010102110222110100
410113223101230102112
514410003301331110
6345542251434530
730460500053613
oct4275321542226
91051112428410
10300300027030
111063a159a023
124a249a55a46
132241a038ab3
141076ad2150a
157c28bc5bc0
hex45eb46c496

300300027030 has 48 divisors (see below), whose sum is σ = 780828394320. Its totient is φ = 80075050944.

The previous prime is 300300026993. The next prime is 300300027031. The reversal of 300300027030 is 30720003003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300300026994 and 300300027012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300300027031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495789 + ... + 1684631.

It is an arithmetic number, because the mean of its divisors is an integer number (16267258215).

Almost surely, 2300300027030 is an apocalyptic number.

300300027030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

300300027030 is an abundant number, since it is smaller than the sum of its proper divisors (480528367290).

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

300300027030 is a wasteful number, since it uses less digits than its factorization.

300300027030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206525 (or 206522 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The spelling of 300300027030 in words is "three hundred billion, three hundred million, twenty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 17669 35338 53007 88345 106014 159021 176690 188843 265035 318042 377686 530070 566529 795105 944215 1133058 1590210 1699587 1888430 2832645 3399174 5665290 8497935 16995870 3336666967 6673333934 10010000901 16683334835 20020001802 30030002703 33366669670 50050004505 60060005406 100100009010 150150013515 300300027030