353214240 has 96 divisors (see below), whose sum is σ = 1116654336. Its totient is φ = 93849600.

The previous prime is 353214233. The next prime is 353214241. The reversal of 353214240 is 42412353.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 353214240.

It is not an unprimeable number, because it can be changed into a prime (353214241) 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 15 ways as a sum of consecutive naturals, for example, 149065 + ... + 151415.

It is an arithmetic number, because the mean of its divisors is an integer number (11631816).

Almost surely, 2^353214240 is an apocalyptic number.

353214240 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 353214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558327168).

353214240 is an abundant number, since it is smaller than the sum of its proper divisors (763440096).

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

353214240 is a wasteful number, since it uses less digits than its factorization.

353214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 353214240 is about 18793.9947855691. The cubic root of 353214240 is about 706.8806084559.

Adding to 353214240 its reverse (42412353), we get a palindrome (395626593).

The spelling of 353214240 in words is "three hundred fifty-three million, two hundred fourteen thousand, two hundred forty".