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10304112 = 2437213337
BaseRepresentation
bin100111010011…
…101001110000
3201101111120210
4213103221300
510114212422
61004504120
7153404100
oct47235160
921344523
1010304112
1158a86a5
12354b040
13219a110
141523200
15d8810c
hex9d3a70

10304112 has 120 divisors (see below), whose sum is σ = 33445776. Its totient is φ = 2709504.

The previous prime is 10304111. The next prime is 10304117. The reversal of 10304112 is 21140301.

It is a happy number.

10304112 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

10304112 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30408 + ... + 30744.

Almost surely, 210304112 is an apocalyptic number.

10304112 is a gapful number since it is divisible by the number (12) 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 10304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722888).

10304112 is an abundant number, since it is smaller than the sum of its proper divisors (23141664).

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

10304112 is a wasteful number, since it uses less digits than its factorization.

10304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10304112 is about 3210.0018691583. The cubic root of 10304112 is about 217.6056614372.

Subtracting from 10304112 its sum of digits (12), we obtain a square (10304100 = 32102).

Adding to 10304112 its reverse (21140301), we get a palindrome (31444413).

The spelling of 10304112 in words is "ten million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 337 364 392 546 588 624 637 674 728 784 1011 1092 1176 1274 1348 1456 1911 2022 2184 2352 2359 2548 2696 3822 4044 4368 4381 4718 5096 5392 7077 7644 8088 8762 9436 10192 13143 14154 15288 16176 16513 17524 18872 26286 28308 30576 30667 33026 35048 37744 49539 52572 56616 61334 66052 70096 92001 99078 105144 113232 122668 132104 184002 198156 210288 214669 245336 264208 368004 396312 429338 490672 644007 736008 792624 858676 1288014 1472016 1717352 2576028 3434704 5152056 10304112