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349986 = 23713641
BaseRepresentation
bin1010101011100100010
3122210002110
41111130202
542144421
611300150
72655240
oct1253442
9583073
10349986
11219a4a
1214a656
13c33c0
1491790
156da76
hex55722

349986 has 32 divisors (see below), whose sum is σ = 862848. Its totient is φ = 92160.

The previous prime is 349981. The next prime is 350003. The reversal of 349986 is 689943.

349986 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349986.

It is not an unprimeable number, because it can be changed into a prime (349981) by changing a digit.

349986 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (26964).

2349986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431424).

349986 is an abundant number, since it is smaller than the sum of its proper divisors (512862).

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

349986 is a wasteful number, since it uses less digits than its factorization.

349986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666.

The product of its digits is 46656, while the sum is 39.

The square root of 349986 is about 591.5961460321. The cubic root of 349986 is about 70.4720476683.

The spelling of 349986 in words is "three hundred forty-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 641 1282 1923 3846 4487 8333 8974 13461 16666 24999 26922 49998 58331 116662 174993 349986