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10004328 = 2332413389
BaseRepresentation
bin100110001010…
…011101101000
3200211021100200
4212022131220
510030114303
6554232200
7151015065
oct46123550
920737320
1010004328
115713444
123425660
1320c3829
141485c6c
15d293a3
hex98a768

10004328 has 48 divisors (see below), whose sum is σ = 27764100. Its totient is φ = 3252480.

The previous prime is 10004311. The next prime is 10004329. The reversal of 10004328 is 82340001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9998244 + 6084 = 3162^2 + 78^2 .

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 10004328.

It is not an unprimeable number, because it can be changed into a prime (10004329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1258 + ... + 4646.

Almost surely, 210004328 is an apocalyptic number.

10004328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882050).

10004328 is an abundant number, since it is smaller than the sum of its proper divisors (17759772).

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

10004328 is a wasteful number, since it uses less digits than its factorization.

10004328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10004328 is about 3162.9619030270. The cubic root of 10004328 is about 215.4745458314.

Adding to 10004328 its reverse (82340001), we get a palindrome (92344329).

The spelling of 10004328 in words is "ten million, four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3389 6778 10167 13556 20334 27112 30501 40668 61002 81336 122004 138949 244008 277898 416847 555796 833694 1111592 1250541 1667388 2501082 3334776 5002164 10004328