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349054489 = 721721572
BaseRepresentation
bin10100110011100…
…010011000011001
3220022210210202001
4110303202120121
51203324220424
654345241001
711435625400
oct2463423031
9808723661
10349054489
1116a039893
1298a93161
1357414a24
1434502637
152099d844
hex14ce2619

349054489 has 27 divisors (see below), whose sum is σ = 434097693. Its totient is φ = 279796608.

The previous prime is 349054487. The next prime is 349054493. The reversal of 349054489 is 984450943.

The square root of 349054489 is 18683.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2350089 + 346704400 = 1533^2 + 18620^2 .

It is not a de Polignac number, because 349054489 - 21 = 349054487 is a prime.

It is a super-2 number, since 2×3490544892 = 243678072582102242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349054487) 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 26 ways as a sum of consecutive naturals, for example, 2223199 + ... + 2223355.

Almost surely, 2349054489 is an apocalyptic number.

349054489 is the 18683-rd square number.

349054489 is the 9342-nd centered octagonal number.

It is an amenable number.

349054489 is a deficient number, since it is larger than the sum of its proper divisors (85043204).

349054489 is an equidigital number, since it uses as much as digits as its factorization.

349054489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The cubic root of 349054489 is about 704.0947010442.

The spelling of 349054489 in words is "three hundred forty-nine million, fifty-four thousand, four hundred eighty-nine".

Divisors: 1 7 17 49 119 157 289 833 1099 2023 2669 7693 14161 18683 24649 45373 130781 172543 317611 419033 1207801 2223277 2933231 7123561 20532617 49864927 349054489