Search a number
-
+
10003338 = 2372287
BaseRepresentation
bin100110001010…
…001110001010
3200211020000000
4212022032022
510030101323
6554223430
7151012152
oct46121612
920736000
1010003338
115712724
123424b76
1320c3247
141485762
15d28e43
hex98a38a

10003338 has 32 divisors (see below), whose sum is σ = 22513920. Its totient is φ = 3332988.

The previous prime is 10003337. The next prime is 10003351. The reversal of 10003338 is 83330001.

It is a super-2 number, since 2×100033382 = 200133542284488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10003338.

It is not an unprimeable number, because it can be changed into a prime (10003337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231 + ... + 5517.

It is an arithmetic number, because the mean of its divisors is an integer number (703560).

Almost surely, 210003338 is an apocalyptic number.

10003338 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 10003338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11256960).

10003338 is an abundant number, since it is smaller than the sum of its proper divisors (12510582).

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

10003338 is an frugal number, since it uses more digits than its factorization.

10003338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2292 counting only the distinct ones).

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

The square root of 10003338 is about 3162.8054002736. The cubic root of 10003338 is about 215.4674380131.

Adding to 10003338 its reverse (83330001), we get a palindrome (93333339).

The spelling of 10003338 in words is "ten million, three thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 2287 4374 4574 6861 13722 20583 41166 61749 123498 185247 370494 555741 1111482 1667223 3334446 5001669 10003338