1506344346 has 96 divisors (see below), whose sum is σ = 3623347728. Its totient is φ = 449326080.

The previous prime is 1506344321. The next prime is 1506344393. The reversal of 1506344346 is 6434436051.

1506344346 is a `hidden beast` number, since 15 + 0 + 634 + 4 + 3 + 4 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 511257321 + 995087025 = 22611^2 + 31545^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1506344346.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1889620 + ... + 1890416.

Almost surely, 2^1506344346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506344346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811673864).

1506344346 is an abundant number, since it is smaller than the sum of its proper divisors (2117003382).

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

1506344346 is a wasteful number, since it uses less digits than its factorization.

1506344346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 1506344346 is about 38811.6521936390. The cubic root of 1506344346 is about 1146.3258532644.

The spelling of 1506344346 in words is "one billion, five hundred six million, three hundred forty-four thousand, three hundred forty-six".