Search a number
-
+
3049344 = 27322647
BaseRepresentation
bin1011101000011110000000
312201220220200
423220132000
51240034334
6145205200
734630134
oct13503600
95656820
103049344
1117a3021
121030800
13829c5c
145953c4
15403799
hex2e8780

3049344 has 48 divisors (see below), whose sum is σ = 8778120. Its totient is φ = 1016064.

The previous prime is 3049331. The next prime is 3049349. The reversal of 3049344 is 4439403.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3049349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172 + ... + 2475.

Almost surely, 23049344 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 3049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389060).

3049344 is an abundant number, since it is smaller than the sum of its proper divisors (5728776).

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

3049344 is a wasteful number, since it uses less digits than its factorization.

3049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3049344 is about 1746.2370973038. The cubic root of 3049344 is about 145.0113982320.

The spelling of 3049344 in words is "three million, forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2647 5294 7941 10588 15882 21176 23823 31764 42352 47646 63528 84704 95292 127056 169408 190584 254112 338816 381168 508224 762336 1016448 1524672 3049344