345251504 has 80 divisors (see below), whose sum is σ = 767763360. Its totient is φ = 148992000.

The previous prime is 345251483. The next prime is 345251549. The reversal of 345251504 is 405152543.

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, 887342 + ... + 887730.

It is an arithmetic number, because the mean of its divisors is an integer number (9597042).

Almost surely, 2^345251504 is an apocalyptic number.

345251504 is a gapful number since it is divisible by the number (34) 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 345251504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

345251504 is an abundant number, since it is smaller than the sum of its proper divisors (422511856).

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

345251504 is a wasteful number, since it uses less digits than its factorization.

345251504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 345251504 is about 18580.9446476760. The cubic root of 345251504 is about 701.5282962467.

The spelling of 345251504 in words is "three hundred forty-five million, two hundred fifty-one thousand, five hundred four".