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1993338 = 232374173
BaseRepresentation
bin111100110101001111010
310202021100100
413212221322
51002241323
6110420230
722641324
oct7465172
93667310
101993338
111141696
12801676
1354a3b9
1439c614
15295943
hex1e6a7a

1993338 has 48 divisors (see below), whose sum is σ = 4606056. Its totient is φ = 622080.

The previous prime is 1993319. The next prime is 1993339. The reversal of 1993338 is 8333991.

It can be written as a sum of positive squares in 4 ways, for example, as 1671849 + 321489 = 1293^2 + 567^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993339) 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 23 ways as a sum of consecutive naturals, for example, 27270 + ... + 27342.

21993338 is an apocalyptic number.

1993338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303028).

1993338 is an abundant number, since it is smaller than the sum of its proper divisors (2612718).

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

1993338 is a wasteful number, since it uses less digits than its factorization.

1993338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 156 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 1993338 is about 1411.8562249748. The cubic root of 1993338 is about 125.8520561394.

The spelling of 1993338 in words is "one million, nine hundred ninety-three thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 41 73 74 82 111 123 146 219 222 246 333 369 438 657 666 738 1314 1517 2701 2993 3034 4551 5402 5986 8103 8979 9102 13653 16206 17958 24309 26937 27306 48618 53874 110741 221482 332223 664446 996669 1993338