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103338 = 2325741
BaseRepresentation
bin11001001110101010
312020202100
4121032222
511301323
62114230
7610164
oct311652
9166670
10103338
1170704
124b976
1338061
1429934
1520943
hex193aa

103338 has 12 divisors (see below), whose sum is σ = 223938. Its totient is φ = 34440.

The previous prime is 103333. The next prime is 103349. The reversal of 103338 is 833301.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 15129 = 297^2 + 123^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5741 = 103338 / (1 + 0 + 3 + 3 + 3 + 8).

It is a self number, because there is not a number n which added to its sum of digits gives 103338.

It is not an unprimeable number, because it can be changed into a prime (103333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2853 + ... + 2888.

2103338 is an apocalyptic number.

103338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

103338 is an abundant number, since it is smaller than the sum of its proper divisors (120600).

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

103338 is a wasteful number, since it uses less digits than its factorization.

103338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103338 is about 321.4622839463. The cubic root of 103338 is about 46.9267002901.

Adding to 103338 its reverse (833301), we get a palindrome (936639).

It can be divided in two parts, 103 and 338, that added together give a square (441 = 212).

The spelling of 103338 in words is "one hundred three thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 5741 11482 17223 34446 51669 103338