345203100 has 288 divisors, whose sum is σ = 1237420800. Its totient is φ = 81849600.

The previous prime is 345203093. The next prime is 345203141. The reversal of 345203100 is 1302543.

It is a super-2 number, since 2×345203100² = 238330360499220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1752202 + ... + 1752398.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^345203100 is an apocalyptic number.

345203100 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 345203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

345203100 is an abundant number, since it is smaller than the sum of its proper divisors (892217700).

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

345203100 is a wasteful number, since it uses less digits than its factorization.

345203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 345203100 is about 18579.6420848196. The cubic root of 345203100 is about 701.4955101354.

Adding to 345203100 its reverse (1302543), we get a palindrome (346505643).

The spelling of 345203100 in words is "three hundred forty-five million, two hundred three thousand, one hundred".