1343253600 has 432 divisors, whose sum is σ = 5186668032. Its totient is φ = 325140480.

The previous prime is 1343253577. The next prime is 1343253601. The reversal of 1343253600 is 63523431.

It is a happy number.

1343253600 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 2 + 53 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343253601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10576737 + ... + 10576863.

It is an arithmetic number, because the mean of its divisors is an integer number (12006176).

Almost surely, 2^1343253600 is an apocalyptic number.

1343253600 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 1343253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593334016).

1343253600 is an abundant number, since it is smaller than the sum of its proper divisors (3843414432).

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

1343253600 is a wasteful number, since it uses less digits than its factorization.

1343253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1343253600 is about 36650.4242813095. The cubic root of 1343253600 is about 1103.3653409561.

The spelling of 1343253600 in words is "one billion, three hundred forty-three million, two hundred fifty-three thousand, six hundred".