713329344 has 336 divisors, whose sum is σ = 2603560960. Its totient is φ = 181647360.

The previous prime is 713329321. The next prime is 713329361. The reversal of 713329344 is 443923317.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×713329344² = 1017677506022940672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 713329299 and 713329308.

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, 1624677 + ... + 1625115.

Almost surely, 2^713329344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301780480).

713329344 is an abundant number, since it is smaller than the sum of its proper divisors (1890231616).

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

713329344 is a wasteful number, since it uses less digits than its factorization.

713329344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 713329344 is about 26708.2261485109. The cubic root of 713329344 is about 893.5044022778.

The spelling of 713329344 in words is "seven hundred thirteen million, three hundred twenty-nine thousand, three hundred forty-four".