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338375104 = 2619278269
BaseRepresentation
bin10100001010110…
…011000111000000
3212120201020101021
4110022303013000
51143111000404
653324315224
711246066224
oct2412630700
9776636337
10338375104
11164005251
12953a2b14
1355145b72
1432d22784
151ea8e454
hex142b31c0

338375104 has 28 divisors (see below), whose sum is σ = 706805800. Its totient is φ = 160282368.

The previous prime is 338375077. The next prime is 338375119. The reversal of 338375104 is 401573833.

338375104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3383751042 = 228995422014021632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338375104.

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, 137919 + ... + 140350.

Almost surely, 2338375104 is an apocalyptic number.

It is an amenable number.

338375104 is an abundant number, since it is smaller than the sum of its proper divisors (368430696).

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

338375104 is a wasteful number, since it uses less digits than its factorization.

338375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278300 (or 278290 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 338375104 is about 18394.9749660063. The cubic root of 338375104 is about 696.8395646457.

It can be divided in two parts, 3383 and 75104, that added together give a palindrome (78487).

The spelling of 338375104 in words is "three hundred thirty-eight million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 278269 556538 1113076 2226152 4452304 5287111 8904608 10574222 17809216 21148444 42296888 84593776 169187552 338375104