345114000 has 640 divisors, whose sum is σ = 1559900160. Its totient is φ = 70848000.

The previous prime is 345113999. The next prime is 345114013. The reversal of 345114000 is 411543.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4157959 + ... + 4158041.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^345114000 is an apocalyptic number.

345114000 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 345114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

345114000 is an abundant number, since it is smaller than the sum of its proper divisors (1214786160).

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

345114000 is a wasteful number, since it uses less digits than its factorization.

345114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 345114000 is about 18577.2441443827. The cubic root of 345114000 is about 701.4351508587.

Adding to 345114000 its reverse (411543), we get a palindrome (345525543).

The spelling of 345114000 in words is "three hundred forty-five million, one hundred fourteen thousand".