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349740324 = 22329715009
BaseRepresentation
bin10100110110001…
…001110100100100
3220101002122112100
4110312021310210
51204013142244
654412052100
711444513043
oct2466116444
9811078470
10349740324
1116a46809a
1299164030
13575c4c4b
143464055a
1520a86b69
hex14d89d24

349740324 has 18 divisors (see below), whose sum is σ = 884065910. Its totient is φ = 116580096.

The previous prime is 349740289. The next prime is 349740331. The reversal of 349740324 is 423047943.

349740324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 347076900 + 2663424 = 18630^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9715009 = 349740324 / (3 + 4 + 9 + 7 + 4 + 0 + 3 + 2 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4857469 + ... + 4857540.

Almost surely, 2349740324 is an apocalyptic number.

It is an amenable number.

349740324 is an abundant number, since it is smaller than the sum of its proper divisors (534325586).

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

349740324 is a wasteful number, since it uses less digits than its factorization.

349740324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715019 (or 9715014 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 349740324 is about 18701.3455130908. The cubic root of 349740324 is about 704.5555430052. Note that the first 4 decimals are identical.

The spelling of 349740324 in words is "three hundred forty-nine million, seven hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 9715009 19430018 29145027 38860036 58290054 87435081 116580108 174870162 349740324