354534240 has 192 divisors, whose sum is σ = 1154829312. Its totient is φ = 91392000.

The previous prime is 354534233. The next prime is 354534241. The reversal of 354534240 is 42435453.

354534240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 354534198 and 354534207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354534241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3442029 + ... + 3442131.

It is an arithmetic number, because the mean of its divisors is an integer number (6014736).

Almost surely, 2^354534240 is an apocalyptic number.

354534240 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 354534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577414656).

354534240 is an abundant number, since it is smaller than the sum of its proper divisors (800295072).

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

354534240 is a wasteful number, since it uses less digits than its factorization.

354534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 354534240 is about 18829.0796376244. The cubic root of 354534240 is about 707.7600770252.

Adding to 354534240 its reverse (42435453), we get a palindrome (396969693).

It can be divided in two parts, 35453 and 4240, that added together give a palindrome (39693).

The spelling of 354534240 in words is "three hundred fifty-four million, five hundred thirty-four thousand, two hundred forty".