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3084142446 = 2337113171337
BaseRepresentation
bin1011011111010100…
…0100011101101110
321221221100200002000
42313311010131232
522304020024241
61230011513130
7136266530640
oct26765043556
97857320060
103084142446
111342a10960
12720a587a6
133a1c65278
1421386a890
15130b64eb6
hexb7d4476e

3084142446 has 256 divisors, whose sum is σ = 8971223040. Its totient is φ = 762048000.

The previous prime is 3084142429. The next prime is 3084142487. The reversal of 3084142446 is 6442414803.

It is a self number, because there is not a number n which added to its sum of digits gives 3084142446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9151590 + ... + 9151926.

It is an arithmetic number, because the mean of its divisors is an integer number (35043840).

Almost surely, 23084142446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3084142446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485611520).

3084142446 is an abundant number, since it is smaller than the sum of its proper divisors (5887080594).

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

3084142446 is a wasteful number, since it uses less digits than its factorization.

3084142446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3084142446 is about 55535.0560096954. The cubic root of 3084142446 is about 1455.6092591412.

It can be divided in two parts, 3084 and 142446, that added together give a triangular number (145530 = T539).

The spelling of 3084142446 in words is "three billion, eighty-four million, one hundred forty-two thousand, four hundred forty-six".