1345504314 has 128 divisors (see below), whose sum is σ = 3476183040. Its totient is φ = 337075200.

The previous prime is 1345504313. The next prime is 1345504319. The reversal of 1345504314 is 4134055431.

It is a super-3 number, since 3×1345504314³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1345504313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1767694 + ... + 1768454.

It is an arithmetic number, because the mean of its divisors is an integer number (27157680).

Almost surely, 2^1345504314 is an apocalyptic number.

1345504314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345504314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738091520).

1345504314 is an abundant number, since it is smaller than the sum of its proper divisors (2130678726).

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

1345504314 is a wasteful number, since it uses less digits than its factorization.

1345504314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1345504314 is about 36681.1165860583. The cubic root of 1345504314 is about 1103.9812519789.

Adding to 1345504314 its reverse (4134055431), we get a palindrome (5479559745).

The spelling of 1345504314 in words is "one billion, three hundred forty-five million, five hundred four thousand, three hundred fourteen".