345330272 has 96 divisors (see below), whose sum is σ = 799948800. Its totient is φ = 143700480.

The previous prime is 345330269. The next prime is 345330277. The reversal of 345330272 is 272033543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345330277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735229 + ... + 1735427.

It is an arithmetic number, because the mean of its divisors is an integer number (8332800).

Almost surely, 2^345330272 is an apocalyptic number.

345330272 is a gapful number since it is divisible by the number (32) 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 345330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).

345330272 is an abundant number, since it is smaller than the sum of its proper divisors (454618528).

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

345330272 is a wasteful number, since it uses less digits than its factorization.

345330272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 29.

The square root of 345330272 is about 18583.0641176314. The cubic root of 345330272 is about 701.5816426511.

The spelling of 345330272 in words is "three hundred forty-five million, three hundred thirty thousand, two hundred seventy-two".