345221300 has 36 divisors (see below), whose sum is σ = 753308556. Its totient is φ = 137318400.

The previous prime is 345221291. The next prime is 345221309. The reversal of 345221300 is 3122543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345221291) and next prime (345221309).

It can be written as a sum of positive squares in 6 ways, for example, as 183982096 + 161239204 = 13564^2 + 12698^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345221309) 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 11 ways as a sum of consecutive naturals, for example, 8564 + ... + 27636.

Almost surely, 2^345221300 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 345221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376654278).

345221300 is an abundant number, since it is smaller than the sum of its proper divisors (408087256).

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

345221300 is a wasteful number, since it uses less digits than its factorization.

345221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19268 (or 19261 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 345221300 is about 18580.1318617495. The cubic root of 345221300 is about 701.5078381378.

Adding to 345221300 its reverse (3122543), we get a palindrome (348343843).

The spelling of 345221300 in words is "three hundred forty-five million, two hundred twenty-one thousand, three hundred".