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338334 = 231731107
BaseRepresentation
bin1010010100110011110
3122012002220
41102212132
541311314
611130210
72606253
oct1224636
9565086
10338334
11211217
12143966
13bacc9
148b42a
156a3a9
hex5299e

338334 has 32 divisors (see below), whose sum is σ = 746496. Its totient is φ = 101760.

The previous prime is 338323. The next prime is 338339. The reversal of 338334 is 433833.

338334 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×3383342 = 228939791112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338339) by changing a digit.

338334 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, 3109 + ... + 3215.

It is an arithmetic number, because the mean of its divisors is an integer number (23328).

2338334 is an apocalyptic number.

338334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

338334 is an abundant number, since it is smaller than the sum of its proper divisors (408162).

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

338334 is a wasteful number, since it uses less digits than its factorization.

338334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its digits is 2592, while the sum is 24.

The square root of 338334 is about 581.6648519551. The cubic root of 338334 is about 69.6811347387.

The spelling of 338334 in words is "three hundred thirty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 107 186 214 321 527 642 1054 1581 1819 3162 3317 3638 5457 6634 9951 10914 19902 56389 112778 169167 338334