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349840 = 2454373
BaseRepresentation
bin1010101011010010000
3122202220001
41111122100
542143330
611255344
72654641
oct1253220
9582801
10349840
11219927
1214a554
13c330a
14916c8
156d9ca
hex55690

349840 has 20 divisors (see below), whose sum is σ = 813564. Its totient is φ = 139904.

The previous prime is 349837. The next prime is 349841. The reversal of 349840 is 48943.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 186624 = 404^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 349799 and 349808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2107 + ... + 2266.

2349840 is an apocalyptic number.

It is an amenable number.

349840 is an abundant number, since it is smaller than the sum of its proper divisors (463724).

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

349840 is a wasteful number, since it uses less digits than its factorization.

349840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 349840 is about 591.4727381714. The cubic root of 349840 is about 70.4622469429.

The spelling of 349840 in words is "three hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4373 8746 17492 21865 34984 43730 69968 87460 174920 349840