345200010 has 64 divisors (see below), whose sum is σ = 854485632. Its totient is φ = 89185536.

The previous prime is 345199997. The next prime is 345200017. The reversal of 345200010 is 10002543.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345200017) 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 31 ways as a sum of consecutive naturals, for example, 340264 + ... + 341276.

It is an arithmetic number, because the mean of its divisors is an integer number (13351338).

Almost surely, 2^345200010 is an apocalyptic number.

345200010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427242816).

345200010 is an abundant number, since it is smaller than the sum of its proper divisors (509285622).

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

345200010 is a wasteful number, since it uses less digits than its factorization.

345200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 345200010 is about 18579.5589291027. The cubic root of 345200010 is about 701.4934170414.

Adding to 345200010 its reverse (10002543), we get a palindrome (355202553).

The spelling of 345200010 in words is "three hundred forty-five million, two hundred thousand, ten".