Search a number
-
+
10404003324 = 223111326323053
BaseRepresentation
bin10011011000010000…
…00111110111111100
3222212001222010111110
421230020013313330
5132301411101244
64440213522020
7515551366131
oct115410076774
928761863443
1010404003324
114459874760
122024343310
13c9a600cb0
14709a8a588
1540d5b29b9
hex26c207dfc

10404003324 has 96 divisors (see below), whose sum is σ = 28629748224. Its totient is φ = 2899019520.

The previous prime is 10404003319. The next prime is 10404003343. The reversal of 10404003324 is 42330040401.

It is a self number, because there is not a number n which added to its sum of digits gives 10404003324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439782 + ... + 462834.

It is an arithmetic number, because the mean of its divisors is an integer number (298226544).

Almost surely, 210404003324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404003324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14314874112).

10404003324 is an abundant number, since it is smaller than the sum of its proper divisors (18225744900).

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

10404003324 is a wasteful number, since it uses less digits than its factorization.

10404003324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23347 (or 23345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10404003324 its reverse (42330040401), we get a palindrome (52734043725).

The spelling of 10404003324 in words is "ten billion, four hundred four million, three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 263 286 429 526 572 789 858 1052 1578 1716 2893 3156 3419 5786 6838 8679 10257 11572 13676 17358 20514 23053 34716 37609 41028 46106 69159 75218 92212 112827 138318 150436 225654 253583 276636 299689 451308 507166 599378 760749 899067 1014332 1198756 1521498 1798134 3042996 3296579 3596268 6062939 6593158 9889737 12125878 13186316 18188817 19779474 24251756 36377634 39558948 66692329 72755268 78818207 133384658 157636414 200076987 236454621 266769316 315272828 400153974 472909242 800307948 867000277 945818484 1734000554 2601000831 3468001108 5202001662 10404003324