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349506 = 23219417
BaseRepresentation
bin1010101010101000010
3122202102200
41111111002
542141011
611254030
72653653
oct1252502
9582380
10349506
11219653
1214a316
13c3111
149152a
156d856
hex55542

349506 has 12 divisors (see below), whose sum is σ = 757302. Its totient is φ = 116496.

The previous prime is 349499. The next prime is 349507. The reversal of 349506 is 605943.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 349281 + 225 = 591^2 + 15^2 .

It is a super-3 number, since 3×3495063 = 128081133351738648, which contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 349506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349506.

It is not an unprimeable number, because it can be changed into a prime (349507) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9691 + ... + 9726.

2349506 is an apocalyptic number.

349506 is an abundant number, since it is smaller than the sum of its proper divisors (407796).

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

349506 is a wasteful number, since it uses less digits than its factorization.

349506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19425 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 349506 is about 591.1903246840. The cubic root of 349506 is about 70.4398158468.

The spelling of 349506 in words is "three hundred forty-nine thousand, five hundred six".

Divisors: 1 2 3 6 9 18 19417 38834 58251 116502 174753 349506