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45354 = 237559

45354 has 8 divisors (see below), whose sum is σ = 90720. Its totient is φ = 15116.

The previous prime is 45343. The next prime is 45361.

It is a happy number.

45354 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

45354 is an admirable number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45354.

It is an unprimeable number.

45354 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3774 + ... + 3785.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

245354 is an apocalyptic number.

45354 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

45354 is a wasteful number, since it uses less digits than its factorization.

45354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564.

The product of its digits is 1200, while the sum is 21.

The square root of 45354 is about 212.9647858215. The cubic root of 45354 is about 35.6619591811.

The spelling of 45354 in words is "forty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7559 15118 22677 45354