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343249729 = 9721912
BaseRepresentation
bin10100011101011…
…001001101000001
3212220212220002221
4110131121031001
51200332442404
654021011041
711335401034
oct2435311501
9786786087
10343249729
11166834669
1296b53a81
1356161864
143383101b
1520203954
hex14759341

343249729 has 9 divisors (see below), whose sum is σ = 348650211. Its totient is φ = 337932480.

The previous prime is 343249721. The next prime is 343249733. The reversal of 343249729 is 927942343.

The square root of 343249729 is 18527.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 154132225 + 189117504 = 12415^2 + 13752^2 .

It is not a de Polignac number, because 343249729 - 23 = 343249721 is a prime.

It is a Duffinian number.

Its product of digits (326592) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (343249721) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1797024 + ... + 1797214.

Almost surely, 2343249729 is an apocalyptic number.

343249729 is the 18527-th square number.

343249729 is the 9264-th centered octagonal number.

It is an amenable number.

343249729 is a deficient number, since it is larger than the sum of its proper divisors (5400482).

343249729 is an frugal number, since it uses more digits than its factorization.

343249729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The cubic root of 343249729 is about 700.1698424609.

The spelling of 343249729 in words is "three hundred forty-three million, two hundred forty-nine thousand, seven hundred twenty-nine".

Divisors: 1 97 191 9409 18527 36481 1797119 3538657 343249729