352293120 has 216 divisors, whose sum is σ = 1244047896. Its totient is φ = 92012544.

The previous prime is 352293119. The next prime is 352293121. The reversal of 352293120 is 21392253.

352293120 is a `hidden beast` number, since 352 + 293 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (352293119) and next prime (352293121).

It can be written as a sum of positive squares in 4 ways, for example, as 176783616 + 175509504 = 13296^2 + 13248^2 .

It is a super-2 number, since 2×352293120² = 248220884798668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352293121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610272 + ... + 610848.

It is an arithmetic number, because the mean of its divisors is an integer number (5759481).

Almost surely, 2^352293120 is an apocalyptic number.

352293120 is a gapful number since it is divisible by the number (30) 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 352293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622023948).

352293120 is an abundant number, since it is smaller than the sum of its proper divisors (891754776).

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

352293120 is a wasteful number, since it uses less digits than its factorization.

352293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 352293120 is about 18769.4730879692. The cubic root of 352293120 is about 706.2656005116.

The spelling of 352293120 in words is "three hundred fifty-two million, two hundred ninety-three thousand, one hundred twenty".