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2304016 = 2411131953
BaseRepresentation
bin1000110010100000010000
311100001111221
420302200100
51042212031
6121214424
725404151
oct10624020
94301457
102304016
111334050
12931414
13628930
1443d928
15307a11
hex232810

2304016 has 80 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 898560.

The previous prime is 2304011. The next prime is 2304017. The reversal of 2304016 is 6104032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2304011) 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, 43446 + ... + 43498.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

22304016 is an apocalyptic number.

2304016 is a gapful number since it is divisible by the number (26) 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 2304016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2304016 is an abundant number, since it is smaller than the sum of its proper divisors (3320624).

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

2304016 is a wasteful number, since it uses less digits than its factorization.

2304016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2304016 is about 1517.8985473344. The cubic root of 2304016 is about 132.0773956891.

Adding to 2304016 its sum of digits (16), we get a palindrome (2304032).

Adding to 2304016 its reverse (6104032), we get a palindrome (8408048).

The spelling of 2304016 in words is "two million, three hundred four thousand, sixteen".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 53 76 88 104 106 143 152 176 208 209 212 247 286 304 418 424 494 572 583 689 836 848 988 1007 1144 1166 1378 1672 1976 2014 2288 2332 2717 2756 3344 3952 4028 4664 5434 5512 7579 8056 9328 10868 11024 11077 13091 15158 16112 21736 22154 26182 30316 43472 44308 52364 60632 88616 104728 121264 144001 177232 209456 288002 576004 1152008 2304016