1334242000 has 160 divisors (see below), whose sum is σ = 3971245824. Its totient is φ = 422208000.

The previous prime is 1334241973. The next prime is 1334242033. The reversal of 1334242000 is 2424331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178335 + ... + 185665.

Almost surely, 2^1334242000 is an apocalyptic number.

1334242000 is a gapful number since it is divisible by the number (10) 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 1334242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985622912).

1334242000 is an abundant number, since it is smaller than the sum of its proper divisors (2637003824).

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

1334242000 is a wasteful number, since it uses less digits than its factorization.

1334242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1334242000 is about 36527.2774786186. The cubic root of 1334242000 is about 1100.8923887903.

Adding to 1334242000 its reverse (2424331), we get a palindrome (1336666331).

It can be divided in two parts, 133424 and 2000, that added together give a square (135424 = 368²).

The spelling of 1334242000 in words is "one billion, three hundred thirty-four million, two hundred forty-two thousand".