6012434340 has 216 divisors, whose sum is σ = 20538403704. Its totient is φ = 1421798400.

The previous prime is 6012434339. The next prime is 6012434341. The reversal of 6012434340 is 434342106.

6012434340 is a `hidden beast` number, since 601 + 24 + 3 + 4 + 34 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6012434339) and next prime (6012434341).

It can be written as a sum of positive squares in 4 ways, for example, as 893890404 + 5118543936 = 29898^2 + 71544^2 .

It is a super-2 number, since 2×6012434340² = 72298733385622471200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6012434341) 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 71 ways as a sum of consecutive naturals, for example, 889614 + ... + 896346.

Almost surely, 2^6012434340 is an apocalyptic number.

6012434340 is a gapful number since it is divisible by the number (60) 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 6012434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10269201852).

6012434340 is an abundant number, since it is smaller than the sum of its proper divisors (14525969364).

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

6012434340 is a wasteful number, since it uses less digits than its factorization.

6012434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6012434340 is about 77539.8887025252. Note that the first 3 decimals coincide. The cubic root of 6012434340 is about 1818.3749875476.

Adding to 6012434340 its reverse (434342106), we get a palindrome (6446776446).

The spelling of 6012434340 in words is "six billion, twelve million, four hundred thirty-four thousand, three hundred forty".