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2303304320 = 27514892417
BaseRepresentation
bin1000100101001001…
…1010001010000000
312221112001222112102
42021102122022000
514204121214240
61020315445532
7111035522642
oct21122321200
95845058472
102303304320
11a82178699
125434568a8
132a9261185
1417bc8c892
15d7325815
hex8949a280

2303304320 has 64 divisors (see below), whose sum is σ = 5512314600. Its totient is φ = 920322048.

The previous prime is 2303304287. The next prime is 2303304343. The reversal of 2303304320 is 234033032.

It can be written as a sum of positive squares in 4 ways, for example, as 2096174656 + 207129664 = 45784^2 + 14392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2303304292 and 2303304301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951752 + ... + 954168.

Almost surely, 22303304320 is an apocalyptic number.

2303304320 is a gapful number since it is divisible by the number (20) 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 2303304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756157300).

2303304320 is an abundant number, since it is smaller than the sum of its proper divisors (3209010280).

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

2303304320 is a wasteful number, since it uses less digits than its factorization.

2303304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 2303304320 is about 47992.7527862280. The cubic root of 2303304320 is about 1320.6379530310.

Adding to 2303304320 its reverse (234033032), we get a palindrome (2537337352).

The spelling of 2303304320 in words is "two billion, three hundred three million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1489 2417 2978 4834 5956 7445 9668 11912 12085 14890 19336 23824 24170 29780 38672 47648 48340 59560 77344 95296 96680 119120 154688 190592 193360 238240 309376 386720 476480 773440 952960 1546880 3598913 7197826 14395652 17994565 28791304 35989130 57582608 71978260 115165216 143956520 230330432 287913040 460660864 575826080 1151652160 2303304320