Search a number
-
+
3002134304 = 251318733853
BaseRepresentation
bin1011001011110000…
…1110111100100000
321202020001020001102
42302330032330200
522122021244204
61213522053532
7134252502101
oct26274167440
97666036042
103002134304
111300698a34
126b94aa2a8
1338ac80b40
14206a003a8
1512886641e
hexb2f0ef20

3002134304 has 48 divisors (see below), whose sum is σ = 6370153272. Its totient is φ = 1384501248.

The previous prime is 3002134301. The next prime is 3002134307. The reversal of 3002134304 is 4034312003.

3002134304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3002134301) and next prime (3002134307).

It can be written as a sum of positive squares in 4 ways, for example, as 2169696400 + 832437904 = 46580^2 + 28852^2 .

It is not an unprimeable number, because it can be changed into a prime (3002134301) 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, 777242 + ... + 781094.

Almost surely, 23002134304 is an apocalyptic number.

It is an amenable number.

3002134304 is an abundant number, since it is smaller than the sum of its proper divisors (3368018968).

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

3002134304 is a wasteful number, since it uses less digits than its factorization.

3002134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3002134304 is about 54791.7357272062. The cubic root of 3002134304 is about 1442.5915113448.

Adding to 3002134304 its reverse (4034312003), we get a palindrome (7036446307).

The spelling of 3002134304 in words is "three billion, two million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1873 3746 3853 7492 7706 14984 15412 24349 29968 30824 48698 50089 59936 61648 97396 100178 123296 194792 200356 389584 400712 779168 801424 1602848 7216669 14433338 28866676 57733352 93816697 115466704 187633394 230933408 375266788 750533576 1501067152 3002134304