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349248414 = 23417917971
BaseRepresentation
bin10100110100010…
…001101110011110
3220100011122202110
4110310101232132
51203401422124
654353334450
711440363644
oct2464215636
9810148673
10349248414
1116a161559
1298b67426
1357482088
1434553194
15209db029
hex14d11b9e

349248414 has 32 divisors (see below), whose sum is σ = 724631040. Its totient is φ = 112132800.

The previous prime is 349248409. The next prime is 349248457. The reversal of 349248414 is 414842943.

349248414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10449 + ... + 28419.

It is an arithmetic number, because the mean of its divisors is an integer number (22644720).

Almost surely, 2349248414 is an apocalyptic number.

349248414 is an abundant number, since it is smaller than the sum of its proper divisors (375382626).

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

349248414 is a wasteful number, since it uses less digits than its factorization.

349248414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18096.

The product of its digits is 110592, while the sum is 39.

The square root of 349248414 is about 18688.1891578612. The cubic root of 349248414 is about 704.2250687382.

The spelling of 349248414 in words is "three hundred forty-nine million, two hundred forty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 41 79 82 123 158 237 246 474 3239 6478 9717 17971 19434 35942 53913 107826 736811 1419709 1473622 2210433 2839418 4259127 4420866 8518254 58208069 116416138 174624207 349248414