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338388505 = 5713743711
BaseRepresentation
bin10100001010110…
…110011000011001
3212120201220202121
4110022312120121
51143111413010
653324501241
711246153260
oct2412663031
9776656677
10338388505
11164014324
12953aa821
135514bcb0
1432d275d7
151ea933da
hex142b6619

338388505 has 16 divisors (see below), whose sum is σ = 499774464. Its totient is φ = 214188480.

The previous prime is 338388503. The next prime is 338388509. The reversal of 338388505 is 505883833.

338388505 is nontrivially palindromic in base 9.

It is not a de Polignac number, because 338388505 - 21 = 338388503 is a prime.

It is a super-3 number, since 3×3383885053 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (338388503) 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, 371401 + ... + 372310.

It is an arithmetic number, because the mean of its divisors is an integer number (31235904).

Almost surely, 2338388505 is an apocalyptic number.

338388505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338388505 is a deficient number, since it is larger than the sum of its proper divisors (161385959).

338388505 is a wasteful number, since it uses less digits than its factorization.

338388505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743736.

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 338388505 is about 18395.3392194871. The cubic root of 338388505 is about 696.8487637304.

The spelling of 338388505 in words is "three hundred thirty-eight million, three hundred eighty-eight thousand, five hundred five".

Divisors: 1 5 7 13 35 65 91 455 743711 3718555 5205977 9668243 26029885 48341215 67677701 338388505