348201009 has 18 divisors (see below), whose sum is σ = 544624470. Its totient is φ = 214276608.

The previous prime is 348201001. The next prime is 348201023. The reversal of 348201009 is 900102843.

It can be written as a sum of positive squares in 3 ways, for example, as 2241009 + 345960000 = 1497^2 + 18600^2 .

It is not a de Polignac number, because 348201009 - 2³ = 348201001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (348201001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112944 + ... + 115985.

It is an arithmetic number, because the mean of its divisors is an integer number (30256915).

Almost surely, 2^348201009 is an apocalyptic number.

348201009 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

348201009 is a deficient number, since it is larger than the sum of its proper divisors (196423461).

348201009 is a wasteful number, since it uses less digits than its factorization.

348201009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228961 (or 228945 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 348201009 is about 18660.1449351285. The cubic root of 348201009 is about 703.5203674150.

The spelling of 348201009 in words is "three hundred forty-eight million, two hundred one thousand, nine".