1282334004 has 240 divisors, whose sum is σ = 4117639680. Its totient is φ = 339655680.

The previous prime is 1282333967. The next prime is 1282334023. The reversal of 1282334004 is 4004332821.

1282334004 is a `hidden beast` number, since 1 + 28 + 233 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3045714 + ... + 3046134.

It is an arithmetic number, because the mean of its divisors is an integer number (17156832).

Almost surely, 2^1282334004 is an apocalyptic number.

1282334004 is a gapful number since it is divisible by the number (14) 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 1282334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058819840).

1282334004 is an abundant number, since it is smaller than the sum of its proper divisors (2835305676).

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

1282334004 is a wasteful number, since it uses less digits than its factorization.

1282334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1282334004 is about 35809.6914814970. The cubic root of 1282334004 is about 1086.4265898350.

Adding to 1282334004 its reverse (4004332821), we get a palindrome (5286666825).

The spelling of 1282334004 in words is "one billion, two hundred eighty-two million, three hundred thirty-four thousand, four".