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338275712 = 2725110529
BaseRepresentation
bin10100001010011…
…010110110000000
3212120112012001002
4110022122312000
51143044310322
653322231132
711245203365
oct2412326600
9776465032
10338275712
11163a47605
12953554a8
135510c858
1432cd846c
151ea6ec92
hex1429ad80

338275712 has 32 divisors (see below), whose sum is σ = 676657800. Its totient is φ = 168448000.

The previous prime is 338275703. The next prime is 338275757. The reversal of 338275712 is 217572833.

338275712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3382757122 = 228860914658213888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26864 + ... + 37392.

Almost surely, 2338275712 is an apocalyptic number.

338275712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338328900).

338275712 is an abundant number, since it is smaller than the sum of its proper divisors (338382088).

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

338275712 is a wasteful number, since it uses less digits than its factorization.

338275712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10794 (or 10782 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 338275712 is about 18392.2731602159. The cubic root of 338275712 is about 696.7713296606.

The spelling of 338275712 in words is "three hundred thirty-eight million, two hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 251 502 1004 2008 4016 8032 10529 16064 21058 32128 42116 84232 168464 336928 673856 1347712 2642779 5285558 10571116 21142232 42284464 84568928 169137856 338275712