345242000 has 80 divisors (see below), whose sum is σ = 850807152. Its totient is φ = 135449600.

The previous prime is 345241993. The next prime is 345242011. The reversal of 345242000 is 242543.

It can be written as a sum of positive squares in 8 ways, for example, as 28686736 + 316555264 = 5356^2 + 17792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×345242000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104372 + ... + 107628.

Almost surely, 2^345242000 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 345242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425403576).

345242000 is an abundant number, since it is smaller than the sum of its proper divisors (505565152).

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

345242000 is a wasteful number, since it uses less digits than its factorization.

345242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 345242000 is about 18580.6889000381. The cubic root of 345242000 is about 701.5218590204.

Adding to 345242000 its reverse (242543), we get a palindrome (345484543).

The spelling of 345242000 in words is "three hundred forty-five million, two hundred forty-two thousand".