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338676338 = 272112134
BaseRepresentation
bin10100001011111…
…100101001110010
3212121021112121002
4110023330221302
51143200120323
653335002002
711251462400
oct2413745162
9777245532
10338676338
111641a0600
1295509302
1355220000
1432da0470
151eaed828
hex142fca72

338676338 has 90 divisors (see below), whose sum is σ = 703691163. Its totient is φ = 121801680.

The previous prime is 338676337. The next prime is 338676341. The reversal of 338676338 is 833676833.

It can be written as a sum of positive squares in 3 ways, for example, as 5929 + 338670409 = 77^2 + 18403^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13013.

It is a super-2 number, since 2×3386763382 = 229403323842180488, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 338676292 and 338676301.

It is not an unprimeable number, because it can be changed into a prime (338676337) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26052020 + ... + 26052032.

Almost surely, 2338676338 is an apocalyptic number.

338676338 is an abundant number, since it is smaller than the sum of its proper divisors (365014825).

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

338676338 is an equidigital number, since it uses as much as digits as its factorization.

338676338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 33 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 47.

The square root of 338676338 is about 18403.1610871611. The cubic root of 338676338 is about 697.0462874092.

It can be divided in two parts, 338 and 676338, that added together give a palindrome (676676).

The spelling of 338676338 in words is "three hundred thirty-eight million, six hundred seventy-six thousand, three hundred thirty-eight".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 169 182 242 286 338 539 637 847 1001 1078 1183 1274 1573 1694 1859 2002 2197 2366 3146 3718 4394 5929 7007 8281 11011 11858 13013 14014 15379 16562 20449 22022 24167 26026 28561 30758 40898 48334 57122 77077 91091 107653 143143 154154 169169 182182 199927 215306 265837 286286 314171 338338 399854 531674 628342 1002001 1184183 1399489 1860859 2004002 2199197 2368366 2798978 3455881 3721718 4398394 6911762 13026013 15394379 24191167 26052026 30788758 48382334 169338169 338676338