1000306000 has 40 divisors (see below), whose sum is σ = 2418744744. Its totient is φ = 400121600.

The previous prime is 1000305973. The next prime is 1000306003. The reversal of 1000306000 is 6030001.

It can be written as a sum of positive squares in 4 ways, for example, as 205291584 + 795014416 = 14328^2 + 28196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1000306000² = 2001224187272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000306003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248077 + ... + 252076.

Almost surely, 2^1000306000 is an apocalyptic number.

1000306000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000306000 is an abundant number, since it is smaller than the sum of its proper divisors (1418438744).

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

1000306000 is an equidigital number, since it uses as much as digits as its factorization.

1000306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500176 (or 500160 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1000306000 is about 31627.6145164317. The cubic root of 1000306000 is about 1000.1019895978.

Adding to 1000306000 its reverse (6030001), we get a palindrome (1006336001).

It can be divided in two parts, 100030 and 6000, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 1000306000 in words is "one billion, three hundred six thousand".