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3040214304 = 253295983223
BaseRepresentation
bin1011010100110101…
…1111110100100000
321211212200212222210
42311031133310200
522211243324204
61221402202120
7135224252361
oct26515376440
97755625883
103040214304
111320138006
1270a1b3340
13395b2479a
1420bab3b68
1512bd89389
hexb535fd20

3040214304 has 192 divisors, whose sum is σ = 8534937600. Its totient is φ = 946025472.

The previous prime is 3040214297. The next prime is 3040214321. The reversal of 3040214304 is 4034120403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13633137 + ... + 13633359.

It is an arithmetic number, because the mean of its divisors is an integer number (44452800).

Almost surely, 23040214304 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 3040214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267468800).

3040214304 is an abundant number, since it is smaller than the sum of its proper divisors (5494723296).

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

3040214304 is a wasteful number, since it uses less digits than its factorization.

3040214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3040214304 is about 55138.1383798909. The cubic root of 3040214304 is about 1448.6653281823.

Adding to 3040214304 its reverse (4034120403), we get a palindrome (7074334707).

The spelling of 3040214304 in words is "three billion, forty million, two hundred fourteen thousand, three hundred four".