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338125 = 54541
BaseRepresentation
bin1010010100011001101
3122011211011
41102203031
541310000
611125221
72605534
oct1224315
9564734
10338125
11211047
12143811
13bab98
148b31b
156a2ba
hex528cd

338125 has 10 divisors (see below), whose sum is σ = 423302. Its totient is φ = 270000.

The previous prime is 338119. The next prime is 338137. The reversal of 338125 is 521833.

It can be written as a sum of positive squares in 5 ways, for example, as 149769 + 188356 = 387^2 + 434^2 .

It is a de Polignac number, because none of the positive numbers 2k-338125 is a prime.

It is a super-2 number, since 2×3381252 = 228657031250, which contains 22 as substring.

It is a Duffinian number.

338125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 338096 and 338105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 355 + ... + 895.

2338125 is an apocalyptic number.

It is an amenable number.

338125 is a deficient number, since it is larger than the sum of its proper divisors (85177).

338125 is an frugal number, since it uses more digits than its factorization.

338125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 546 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 338125 is about 581.4851674807. The cubic root of 338125 is about 69.6667836764. Note that the first 3 decimals are identical.

Adding to 338125 its reverse (521833), we get a palindrome (859958).

The spelling of 338125 in words is "three hundred thirty-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 125 541 625 2705 13525 67625 338125