305000010 has 288 divisors, whose sum is σ = 1003871232. Its totient is φ = 63866880.

The previous prime is 304999993. The next prime is 305000053. The reversal of 305000010 is 10000503.

It is a super-2 number, since 2×305000010² = 186050012200000200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 304999956 and 305000001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3144282 + ... + 3144378.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2^305000010 is an apocalyptic number.

305000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616).

305000010 is an abundant number, since it is smaller than the sum of its proper divisors (698871222).

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

305000010 is a wasteful number, since it uses less digits than its factorization.

305000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 305000010 is about 17464.2494828721. The cubic root of 305000010 is about 673.1315570832.

Adding to 305000010 its reverse (10000503), we get a palindrome (315000513).

The spelling of 305000010 in words is "three hundred five million, ten", and thus it is an aban number.