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349284141 = 32234339241
BaseRepresentation
bin10100110100011…
…010011100101101
3220100020110202200
4110310122130231
51203404043031
654354212113
711440603053
oct2464323455
9810213680
10349284141
1116a186388
1298b84039
135749540b
14345621d3
15209e68e6
hex14d1a72d

349284141 has 24 divisors (see below), whose sum is σ = 538714176. Its totient is φ = 217546560.

The previous prime is 349284137. The next prime is 349284157. The reversal of 349284141 is 141482943.

It is a happy number.

It is not a de Polignac number, because 349284141 - 22 = 349284137 is a prime.

It is a super-2 number, since 2×3492841412 = 243998822308215762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 349284096 and 349284105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349284101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10720 + ... + 28521.

It is an arithmetic number, because the mean of its divisors is an integer number (22446424).

Almost surely, 2349284141 is an apocalyptic number.

It is an amenable number.

349284141 is a deficient number, since it is larger than the sum of its proper divisors (189430035).

349284141 is a wasteful number, since it uses less digits than its factorization.

349284141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39313 (or 39310 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 349284141 is about 18689.1450045207. The cubic root of 349284141 is about 704.2490812463.

The spelling of 349284141 in words is "three hundred forty-nine million, two hundred eighty-four thousand, one hundred forty-one".

Divisors: 1 3 9 23 43 69 129 207 387 989 2967 8901 39241 117723 353169 902543 1687363 2707629 5062089 8122887 15186267 38809349 116428047 349284141