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2303266304 = 2929612543
BaseRepresentation
bin1000100101001001…
…0000111000000000
312221112000001101102
42021102100320000
514204114010204
61020314553532
7111035304053
oct21122207000
95845001342
102303266304
11a82152079
125434388a8
132a9249a91
1417bc7ca9a
15d731941e
hex89490e00

2303266304 has 80 divisors (see below), whose sum is σ = 4840672320. Its totient is φ = 1093263360.

The previous prime is 2303266297. The next prime is 2303266309. The reversal of 2303266304 is 4036623032.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303266309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904457 + ... + 906999.

It is an arithmetic number, because the mean of its divisors is an integer number (60508404).

Almost surely, 22303266304 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 2303266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420336160).

2303266304 is an abundant number, since it is smaller than the sum of its proper divisors (2537406016).

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

2303266304 is an equidigital number, since it uses as much as digits as its factorization.

2303266304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The square root of 2303266304 is about 47992.3567247953. The cubic root of 2303266304 is about 1320.6306872884.

Adding to 2303266304 its reverse (4036623032), we get a palindrome (6339889336).

The spelling of 2303266304 in words is "two billion, three hundred three million, two hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 256 464 488 512 928 976 1769 1856 1952 2543 3538 3712 3904 5086 7076 7424 7808 10172 14152 14848 15616 20344 28304 31232 40688 56608 73747 81376 113216 147494 155123 162752 226432 294988 310246 325504 452864 589976 620492 651008 905728 1179952 1240984 1302016 2359904 2481968 4498567 4719808 4963936 8997134 9439616 9927872 17994268 18879232 19855744 35988536 37758464 39711488 71977072 79422976 143954144 287908288 575816576 1151633152 2303266304