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338943 = 31110271
BaseRepresentation
bin1010010101111111111
3122012221110
41102233333
541321233
611133103
72611113
oct1225777
9565843
10338943
11211720
12144193
13bb377
148b743
156a663
hex52bff

338943 has 8 divisors (see below), whose sum is σ = 493056. Its totient is φ = 205400.

The previous prime is 338927. The next prime is 338959. The reversal of 338943 is 349833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (338927) and next prime (338959).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 338943 - 24 = 338927 is a prime.

It is a super-2 number, since 2×3389432 = 229764714498, which contains 22 as substring.

338943 is a lucky number.

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 338943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5103 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (61632).

2338943 is an apocalyptic number.

338943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

338943 is a deficient number, since it is larger than the sum of its proper divisors (154113).

338943 is a wasteful number, since it uses less digits than its factorization.

338943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10285.

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

The square root of 338943 is about 582.1881139288. The cubic root of 338943 is about 69.7229182771.

The spelling of 338943 in words is "three hundred thirty-eight thousand, nine hundred forty-three".

Divisors: 1 3 11 33 10271 30813 112981 338943