352298240 has 216 divisors, whose sum is σ = 1012920552. Its totient is φ = 116981760.

The previous prime is 352298207. The next prime is 352298333. The reversal of 352298240 is 42892253.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 349839616 = 1568^2 + 18704^2 .

It is a super-2 number, since 2×352298240² = 248228099814195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 352298240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2571452 + ... + 2571588.

It is an arithmetic number, because the mean of its divisors is an integer number (4689447).

Almost surely, 2^352298240 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 352298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506460276).

352298240 is an abundant number, since it is smaller than the sum of its proper divisors (660622312).

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

352298240 is a wasteful number, since it uses less digits than its factorization.

352298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 352298240 is about 18769.6094791554. The cubic root of 352298240 is about 706.2690219640.

The spelling of 352298240 in words is "three hundred fifty-two million, two hundred ninety-eight thousand, two hundred forty".