Search a number
-
+
305130404232 = 233211337503737
BaseRepresentation
bin1000111000010110011…
…00000111100110001000
31002011121001200120021200
410130023030013212020
514444401340413412
6352101443304200
731021262433153
oct4341314074610
91064531616250
10305130404232
111084501819a5
124b17767b060
1322a099b7c64
1410aa866ac9a
157e0ccc39dc
hex470b307988

305130404232 has 48 divisors (see below), whose sum is σ = 833708095740. Its totient is φ = 100810042368.

The previous prime is 305130404209. The next prime is 305130404239. The reversal of 305130404232 is 232404031503.

It can be written as a sum of positive squares in 2 ways, for example, as 303903023076 + 1227381156 = 551274^2 + 35034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 305130404196 and 305130404205.

It is not an unprimeable number, because it can be changed into a prime (305130404239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18743733 + ... + 18760004.

Almost surely, 2305130404232 is an apocalyptic number.

It is an amenable number.

305130404232 is an abundant number, since it is smaller than the sum of its proper divisors (528577691508).

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

305130404232 is a wasteful number, since it uses less digits than its factorization.

305130404232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37503862 (or 37503855 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 305130404232 its reverse (232404031503), we get a palindrome (537534435735).

The spelling of 305130404232 in words is "three hundred five billion, one hundred thirty million, four hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 37503737 75007474 112511211 150014948 225022422 300029896 337533633 450044844 675067266 900089688 1350134532 2700269064 4237922281 8475844562 12713766843 16951689124 25427533686 33903378248 38141300529 50855067372 76282601058 101710134744 152565202116 305130404232