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334893 = 31331277
BaseRepresentation
bin1010001110000101101
3122000101110
41101300231
541204033
611102233
72563236
oct1216055
9560343
10334893
11209679
12141979
13b9580
148a08d
1569363
hex51c2d

334893 has 16 divisors (see below), whose sum is σ = 498176. Its totient is φ = 198720.

The previous prime is 334891. The next prime is 334897. The reversal of 334893 is 398433.

It is a happy number.

It is not a de Polignac number, because 334893 - 21 = 334891 is a prime.

It is a super-2 number, since 2×3348932 = 224306642898, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (7776) is a multiple of the sum of its prime divisors (324).

It is a Curzon number.

334893 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 334893.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 334893.

It is not an unprimeable number, because it can be changed into a prime (334891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (31136).

2334893 is an apocalyptic number.

It is an amenable number.

334893 is a deficient number, since it is larger than the sum of its proper divisors (163283).

334893 is a wasteful number, since it uses less digits than its factorization.

334893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324.

The product of its digits is 7776, while the sum is 30.

The square root of 334893 is about 578.6994038359. The cubic root of 334893 is about 69.4441004546. Note that the first 3 decimals are identical.

It can be divided in two parts, 3348 and 93, that multiplied together give a square (311364 = 5582).

The spelling of 334893 in words is "three hundred thirty-four thousand, eight hundred ninety-three".

Divisors: 1 3 13 31 39 93 277 403 831 1209 3601 8587 10803 25761 111631 334893