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3061344 = 2531113223
BaseRepresentation
bin1011101011011001100000
312202112101010
423223121200
51240430334
6145340520
735010126
oct13533140
95675333
103061344
111801040
121037740
13832560
14599916
154070e9
hex2eb660

3061344 has 96 divisors (see below), whose sum is σ = 9483264. Its totient is φ = 852480.

The previous prime is 3061321. The next prime is 3061363. The reversal of 3061344 is 4431603.

3061344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3061344.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13617 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

Almost surely, 23061344 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 3061344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741632).

3061344 is an abundant number, since it is smaller than the sum of its proper divisors (6421920).

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

3061344 is a wasteful number, since it uses less digits than its factorization.

3061344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3061344 is about 1749.6696831116. The cubic root of 3061344 is about 145.2013690496.

Adding to 3061344 its reverse (4431603), we get a palindrome (7492947).

The spelling of 3061344 in words is "three million, sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 223 264 286 312 352 416 429 446 528 572 624 669 858 892 1056 1144 1248 1338 1716 1784 2288 2453 2676 2899 3432 3568 4576 4906 5352 5798 6864 7136 7359 8697 9812 10704 11596 13728 14718 17394 19624 21408 23192 29436 31889 34788 39248 46384 58872 63778 69576 78496 92768 95667 117744 127556 139152 191334 235488 255112 278304 382668 510224 765336 1020448 1530672 3061344