Search a number
-
+
300006450378 = 236205765741
BaseRepresentation
bin1000101110110011100…
…01110010010011001010
31001200100222001202000000
410113121301302103022
514403403122403003
6345453203223430
730450303516165
oct4273161622312
91050328052000
10300006450378
11106260902598
124a187677b76
13223a12798bb
141073dd40adc
157c0d0351a3
hex45d9c724ca

300006450378 has 28 divisors (see below), whose sum is σ = 674705868018. Its totient is φ = 100002149640.

The previous prime is 300006450371. The next prime is 300006450379. The reversal of 300006450378 is 873054600003.

It is a happy number.

300006450378 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 0 + 645 + 0 + 3 + 7 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 299851522569 + 154927809 = 547587^2 + 12447^2 .

It is not an unprimeable number, because it can be changed into a prime (300006450371) 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 13 ways as a sum of consecutive naturals, for example, 102881413 + ... + 102884328.

Almost surely, 2300006450378 is an apocalyptic number.

300006450378 is an abundant number, since it is smaller than the sum of its proper divisors (374699417640).

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

300006450378 is an equidigital number, since it uses as much as digits as its factorization.

300006450378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205765761 (or 205765746 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 300006450378 in words is "three hundred billion, six million, four hundred fifty thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 205765741 411531482 617297223 1234594446 1851891669 3703783338 5555675007 11111350014 16667025021 33334050042 50001075063 100002150126 150003225189 300006450378