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10304424 = 233213101109
BaseRepresentation
bin100111010011…
…101110101000
3201101112000100
4213103232220
510114220144
61004505400
7153405024
oct47235650
921345010
1010304424
1158a8959
12354b260
13219a2c0
141523384
15d88269
hex9d3ba8

10304424 has 96 divisors (see below), whose sum is σ = 30630600. Its totient is φ = 3110400.

The previous prime is 10304417. The next prime is 10304447. The reversal of 10304424 is 42440301.

It can be written as a sum of positive squares in 4 ways, for example, as 9922500 + 381924 = 3150^2 + 618^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10304397 and 10304406.

It is a congruent number.

It is an unprimeable number.

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, 94482 + ... + 94590.

Almost surely, 210304424 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 10304424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315300).

10304424 is an abundant number, since it is smaller than the sum of its proper divisors (20326176).

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

10304424 is a wasteful number, since it uses less digits than its factorization.

10304424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10304424 is about 3210.0504668930. The cubic root of 10304424 is about 217.6078577216.

Adding to 10304424 its reverse (42440301), we get a palindrome (52744725).

The spelling of 10304424 in words is "ten million, three hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 109 117 156 202 218 234 303 312 327 404 436 468 606 654 808 872 909 936 981 1212 1308 1313 1417 1818 1962 2424 2616 2626 2834 3636 3924 3939 4251 5252 5668 7272 7848 7878 8502 10504 11009 11336 11817 12753 15756 17004 22018 23634 25506 31512 33027 34008 44036 47268 51012 66054 88072 94536 99081 102024 132108 143117 198162 264216 286234 396324 429351 572468 792648 858702 1144936 1288053 1717404 2576106 3434808 5152212 10304424