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2814090304 = 261923492
BaseRepresentation
bin1010011110111011…
…1001110001000000
321021010012121011211
42213232321301000
521230401342204
61143123415504
7126510241624
oct24756716100
97233177154
102814090304
111214531773
12666524594
1335b0217bc
141c9a51184
151170be804
hexa7bb9c40

2814090304 has 63 divisors (see below), whose sum is σ = 5910520437. Its totient is φ = 1329170688.

The previous prime is 2814090289. The next prime is 2814090329. The reversal of 2814090304 is 4030904182.

The square root of 2814090304 is 53048.

It is a perfect power (a square), and thus also a powerful number.

2814090304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2065520704 + 748569600 = 45448^2 + 27360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8063122 + ... + 8063470.

Almost surely, 22814090304 is an apocalyptic number.

2814090304 is the 53048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2814090304

2814090304 is an abundant number, since it is smaller than the sum of its proper divisors (3096430133).

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

2814090304 is an frugal number, since it uses more digits than its factorization.

2814090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 2814090304 is about 1411.8200435673.

Adding to 2814090304 its reverse (4030904182), we get a palindrome (6844994486).

The spelling of 2814090304 in words is "two billion, eight hundred fourteen million, ninety thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 349 361 608 698 722 1216 1396 1444 2792 2888 5584 5776 6631 11168 11552 13262 22336 23104 26524 53048 106096 121801 125989 212192 243602 251978 424384 487204 503956 974408 1007912 1948816 2015824 2314219 3897632 4031648 4628438 7795264 8063296 9256876 18513752 37027504 43970161 74055008 87940322 148110016 175880644 351761288 703522576 1407045152 2814090304