Search a number
-
+
338003381 = 29711391181
BaseRepresentation
bin10100001001011…
…000010110110101
3212120000100110202
4110021120112311
51143012102011
653312330245
711242660412
oct2411302665
9776010422
10338003381
11163880a41
1295243985
1355045901
1432c67109
151ea1923b
hex142585b5

338003381 has 16 divisors (see below), whose sum is σ = 357436800. Its totient is φ = 319166400.

The previous prime is 338003339. The next prime is 338003411. The reversal of 338003381 is 183300833.

It is a cyclic number.

It is not a de Polignac number, because 338003381 - 218 = 337741237 is a prime.

It is a super-2 number, since 2×3380033812 = 228492571134862322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338003311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285611 + ... + 286791.

It is an arithmetic number, because the mean of its divisors is an integer number (22339800).

Almost surely, 2338003381 is an apocalyptic number.

It is an amenable number.

338003381 is a deficient number, since it is larger than the sum of its proper divisors (19433419).

338003381 is a wasteful number, since it uses less digits than its factorization.

338003381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 338003381 is about 18384.8682616983. The cubic root of 338003381 is about 696.5842994074.

The spelling of 338003381 in words is "three hundred thirty-eight million, three thousand, three hundred eighty-one".

Divisors: 1 29 71 139 1181 2059 4031 9869 34249 83851 164159 286201 2431679 4760611 11655289 338003381