345321504 has 144 divisors (see below), whose sum is σ = 1127861280. Its totient is φ = 99118080.

The previous prime is 345321503. The next prime is 345321547. The reversal of 345321504 is 405123543.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×345321504² = 238493882249644032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345321503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57324 + ... + 63060.

It is an arithmetic number, because the mean of its divisors is an integer number (7832370).

Almost surely, 2^345321504 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 345321504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563930640).

345321504 is an abundant number, since it is smaller than the sum of its proper divisors (782539776).

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

345321504 is a wasteful number, since it uses less digits than its factorization.

345321504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 345321504 is about 18582.8282024023. The cubic root of 345321504 is about 701.5757048379.

The spelling of 345321504 in words is "three hundred forty-five million, three hundred twenty-one thousand, five hundred four".