351993296 has 40 divisors (see below), whose sum is σ = 725879880. Its totient is φ = 164777984.

The previous prime is 351993281. The next prime is 351993307. The reversal of 351993296 is 692399153.

It can be written as a sum of positive squares in 4 ways, for example, as 277688896 + 74304400 = 16664^2 + 8620^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 351993296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50300 + ... + 56868.

It is an arithmetic number, because the mean of its divisors is an integer number (18146997).

Almost surely, 2^351993296 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 351993296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362939940).

351993296 is an abundant number, since it is smaller than the sum of its proper divisors (373886584).

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

351993296 is a wasteful number, since it uses less digits than its factorization.

351993296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791 (or 6785 counting only the distinct ones).

The product of its digits is 393660, while the sum is 47.

The square root of 351993296 is about 18761.4843762427. The cubic root of 351993296 is about 706.0651845642.

The spelling of 351993296 in words is "three hundred fifty-one million, nine hundred ninety-three thousand, two hundred ninety-six".