1345003200 has 504 divisors, whose sum is σ = 5188525056. Its totient is φ = 329472000.

The previous prime is 1345003199. The next prime is 1345003259. The reversal of 1345003200 is 23005431.

1345003200 is a `hidden beast` number, since 1 + 345 + 0 + 0 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10267135 + ... + 10267265.

Almost surely, 2^1345003200 is an apocalyptic number.

1345003200 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 1345003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594262528).

1345003200 is an abundant number, since it is smaller than the sum of its proper divisors (3843521856).

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

1345003200 is a wasteful number, since it uses less digits than its factorization.

1345003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1345003200 is about 36674.2852691092. The cubic root of 1345003200 is about 1103.8441809072.

Adding to 1345003200 its reverse (23005431), we get a palindrome (1368008631).

The spelling of 1345003200 in words is "one billion, three hundred forty-five million, three thousand, two hundred".