345213400 has 96 divisors (see below), whose sum is σ = 922798080. Its totient is φ = 117648000.

The previous prime is 345213391. The next prime is 345213409. The reversal of 345213400 is 4312543.

It is an interprime number because it is at equal distance from previous prime (345213391) and next prime (345213409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345213409) 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 23 ways as a sum of consecutive naturals, for example, 266755 + ... + 268045.

It is an arithmetic number, because the mean of its divisors is an integer number (9612480).

Almost surely, 2^345213400 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 345213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461399040).

345213400 is an abundant number, since it is smaller than the sum of its proper divisors (577584680).

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

345213400 is a wasteful number, since it uses less digits than its factorization.

345213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 345213400 is about 18579.9192678547. The cubic root of 345213400 is about 701.5024870251.

Adding to 345213400 its reverse (4312543), we get a palindrome (349525943).

The spelling of 345213400 in words is "three hundred forty-five million, two hundred thirteen thousand, four hundred".