352268 has 24 divisors (see below), whose sum is σ = 736512. Its totient is φ = 144144.

The previous prime is 352267. The next prime is 352271. The reversal of 352268 is 862253.

It is a d-powerful number, because it can be written as 3³ + 5⁴ + 2¹¹ + 2¹⁶ + 6⁷ + 8⁴ .

It is not an unprimeable number, because it can be changed into a prime (352267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (30688).

2³⁵²²⁶⁸ 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 352268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368256).

352268 is an abundant number, since it is smaller than the sum of its proper divisors (384244).

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

352268 is a wasteful number, since it uses less digits than its factorization.

352268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 352268 is about 593.5216929481. The cubic root of 352268 is about 70.6248813531.

The spelling of 352268 in words is "three hundred fifty-two thousand, two hundred sixty-eight".