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349716829 = 71129199787
BaseRepresentation
bin10100110110000…
…100000101011101
3220101001110022011
4110312010011131
51204011414304
654411351221
711444354410
oct2466040535
9811043264
10349716829
1116a451480
1299152511
13575b7347
1434635b77
1520a7ec04
hex14d8415d

349716829 has 32 divisors (see below), whose sum is σ = 453888000. Its totient is φ = 261455040.

The previous prime is 349716823. The next prime is 349716833. The reversal of 349716829 is 928617943.

It is not a de Polignac number, because 349716829 - 23 = 349716821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349716821) 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 31 ways as a sum of consecutive naturals, for example, 443974 + ... + 444760.

It is an arithmetic number, because the mean of its divisors is an integer number (14184000).

Almost surely, 2349716829 is an apocalyptic number.

It is an amenable number.

349716829 is a deficient number, since it is larger than the sum of its proper divisors (104171171).

349716829 is a wasteful number, since it uses less digits than its factorization.

349716829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033.

The product of its digits is 653184, while the sum is 49.

The square root of 349716829 is about 18700.7173391825. The cubic root of 349716829 is about 704.5397656774.

The spelling of 349716829 in words is "three hundred forty-nine million, seven hundred sixteen thousand, eight hundred twenty-nine".

Divisors: 1 7 11 29 77 199 203 319 787 1393 2189 2233 5509 5771 8657 15323 22823 40397 60599 63481 156613 159761 251053 444367 1096291 1722743 1757371 4541777 12059201 31792439 49959547 349716829