345513000 has 128 divisors (see below), whose sum is σ = 1232075520. Its totient is φ = 78969600.

The previous prime is 345512983. The next prime is 345513001. The reversal of 345513000 is 315543.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (345513001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12774 + ... + 29226.

It is an arithmetic number, because the mean of its divisors is an integer number (9625590).

Almost surely, 2^345513000 is an apocalyptic number.

345513000 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 345513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616037760).

345513000 is an abundant number, since it is smaller than the sum of its proper divisors (886562520).

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

345513000 is a wasteful number, since it uses less digits than its factorization.

345513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16484 (or 16470 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 345513000 is about 18587.9799870777. The cubic root of 345513000 is about 701.7053657608.

Adding to 345513000 its reverse (315543), we get a palindrome (345828543).

The spelling of 345513000 in words is "three hundred forty-five million, five hundred thirteen thousand".