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306504335940 = 22351117148718371
BaseRepresentation
bin1000111010111010001…
…01010000001001000100
31002022010210222112021020
410131131011100021010
520010210102222230
6352450043351140
731100314604025
oct4353505201104
91068123875236
10306504335940
11108a95786150
124b49b8224b0
1322b9853a1ba
1410b98d14c4c
157e8d719810
hex475d150244

306504335940 has 192 divisors, whose sum is σ = 992024506368. Its totient is φ = 69882419200.

The previous prime is 306504335897. The next prime is 306504335941. The reversal of 306504335940 is 49533405603.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 306504335892 and 306504335901.

It is not an unprimeable number, because it can be changed into a prime (306504335941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16674955 + ... + 16693325.

It is an arithmetic number, because the mean of its divisors is an integer number (5166794304).

Almost surely, 2306504335940 is an apocalyptic number.

306504335940 is a gapful number since it is divisible by the number (30) 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 306504335940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496012253184).

306504335940 is an abundant number, since it is smaller than the sum of its proper divisors (685520170428).

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

306504335940 is a wasteful number, since it uses less digits than its factorization.

306504335940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898 (or 19896 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 306504335940 in words is "three hundred six billion, five hundred four million, three hundred thirty-five thousand, nine hundred forty".