345105220 has 48 divisors (see below), whose sum is σ = 752477040. Its totient is φ = 132790784.

The previous prime is 345105197. The next prime is 345105223. The reversal of 345105220 is 22501543.

It can be written as a sum of positive squares in 8 ways, for example, as 24265476 + 320839744 = 4926^2 + 17912^2 .

It is a super-2 number, since 2×345105220² = 238195225742496800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345105191 and 345105200.

It is not an unprimeable number, because it can be changed into a prime (345105223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182922 + ... + 184798.

It is an arithmetic number, because the mean of its divisors is an integer number (15676605).

Almost surely, 2^345105220 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 345105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376238520).

345105220 is an abundant number, since it is smaller than the sum of its proper divisors (407371820).

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

345105220 is a wasteful number, since it uses less digits than its factorization.

345105220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 345105220 is about 18577.0078322641. The cubic root of 345105220 is about 701.4292024350.

Adding to 345105220 its reverse (22501543), we get a palindrome (367606763).

The spelling of 345105220 in words is "three hundred forty-five million, one hundred five thousand, two hundred twenty".