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349202249 = 11214931933
BaseRepresentation
bin10100110100000…
…110011101001001
3220100002022102122
4110310012131021
51203343432444
654352341025
711440112234
oct2464063511
9810068378
10349202249
1116a12a900
1298b44775
1357467066
143454041b
15209cc4ee
hex14d06749

349202249 has 12 divisors (see below), whose sum is σ = 384289668. Its totient is φ = 317079840.

The previous prime is 349202237. The next prime is 349202251. The reversal of 349202249 is 942202943.

It can be written as a sum of positive squares in 2 ways, for example, as 274068025 + 75134224 = 16555^2 + 8668^2 .

It is a de Polignac number, because none of the positive numbers 2k-349202249 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349202209) 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 11 ways as a sum of consecutive naturals, for example, 179687 + ... + 181619.

It is an arithmetic number, because the mean of its divisors is an integer number (32024139).

Almost surely, 2349202249 is an apocalyptic number.

It is an amenable number.

349202249 is a deficient number, since it is larger than the sum of its proper divisors (35087419).

349202249 is a wasteful number, since it uses less digits than its factorization.

349202249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 349202249 is about 18686.9539786451. The cubic root of 349202249 is about 704.1940383106.

The spelling of 349202249 in words is "three hundred forty-nine million, two hundred two thousand, two hundred forty-nine".

Divisors: 1 11 121 1493 1933 16423 21263 180653 233893 2885969 31745659 349202249