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3049384 = 2313109269
BaseRepresentation
bin1011101000011110101000
312201220222011
423220132220
51240040014
6145205304
734630222
oct13503650
95656864
103049384
1117a3058
121030834
13829c90
14595412
154037c4
hex2e87a8

3049384 has 32 divisors (see below), whose sum is σ = 6237000. Its totient is φ = 1389312.

The previous prime is 3049381. The next prime is 3049391. The reversal of 3049384 is 4839403.

3049384 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 4 ways, for example, as 1633284 + 1416100 = 1278^2 + 1190^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3049381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11202 + ... + 11470.

Almost surely, 23049384 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 3049384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118500).

3049384 is an abundant number, since it is smaller than the sum of its proper divisors (3187616).

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

3049384 is a wasteful number, since it uses less digits than its factorization.

3049384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3049384 is about 1746.2485504647. The cubic root of 3049384 is about 145.0120322952.

The spelling of 3049384 in words is "three million, forty-nine thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 109 218 269 436 538 872 1076 1417 2152 2834 3497 5668 6994 11336 13988 27976 29321 58642 117284 234568 381173 762346 1524692 3049384