354322000 has 160 divisors (see below), whose sum is σ = 914004000. Its totient is φ = 132608000.

The previous prime is 354321991. The next prime is 354322019. The reversal of 354322000 is 223453.

It can be written as a sum of positive squares in 16 ways, for example, as 351787536 + 2534464 = 18756^2 + 1592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2377926 + ... + 2378074.

It is an arithmetic number, because the mean of its divisors is an integer number (5712525).

Almost surely, 2^354322000 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 354322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457002000).

354322000 is an abundant number, since it is smaller than the sum of its proper divisors (559682000).

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

354322000 is a wasteful number, since it uses less digits than its factorization.

354322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 354322000 is about 18823.4428306832. The cubic root of 354322000 is about 707.6188165893.

Adding to 354322000 its reverse (223453), we get a palindrome (354545453).

The spelling of 354322000 in words is "three hundred fifty-four million, three hundred twenty-two thousand".