1345444100 has 144 divisors (see below), whose sum is σ = 3920332416. Its totient is φ = 387072000.

The previous prime is 1345444099. The next prime is 1345444117. The reversal of 1345444100 is 14445431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1345444100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93380 + ... + 106820.

Almost surely, 2^1345444100 is an apocalyptic number.

1345444100 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 1345444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960166208).

1345444100 is an abundant number, since it is smaller than the sum of its proper divisors (2574888316).

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

1345444100 is a wasteful number, since it uses less digits than its factorization.

1345444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13486 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1345444100 is about 36680.2958003340. The cubic root of 1345444100 is about 1103.9647832794.

Adding to 1345444100 its reverse (14445431), we get a palindrome (1359889531).

The spelling of 1345444100 in words is "one billion, three hundred forty-five million, four hundred forty-four thousand, one hundred".