Search a number
-
+
3003000704 = 271123471973
BaseRepresentation
bin1011001011111110…
…0010011110000000
321202021200020112022
42302333202132000
522122232010304
61213552421012
7134263041044
oct26277423600
97667606468
103003000704
11130112a970
126b9847768
1338b1c52c2
14206b88024
15128987ebe
hexb2fe2780

3003000704 has 128 divisors (see below), whose sum is σ = 6958586880. Its totient is φ = 1277224960.

The previous prime is 3003000691. The next prime is 3003000713. The reversal of 3003000704 is 4070003003.

3003000704 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521062 + ... + 1523034.

It is an arithmetic number, because the mean of its divisors is an integer number (54363960).

Almost surely, 23003000704 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 3003000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479293440).

3003000704 is an abundant number, since it is smaller than the sum of its proper divisors (3955586176).

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

3003000704 is a wasteful number, since it uses less digits than its factorization.

3003000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 3003000704 is about 54799.6414586811. The cubic root of 3003000704 is about 1442.7302727440.

Adding to 3003000704 its reverse (4070003003), we get a palindrome (7073003707).

The spelling of 3003000704 in words is "three billion, three million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 23 32 44 46 47 64 88 92 94 128 176 184 188 253 352 368 376 506 517 704 736 752 1012 1034 1081 1408 1472 1504 1973 2024 2068 2162 2944 3008 3946 4048 4136 4324 6016 7892 8096 8272 8648 11891 15784 16192 16544 17296 21703 23782 31568 32384 33088 34592 43406 45379 47564 63136 66176 69184 86812 90758 92731 95128 126272 138368 173624 181516 185462 190256 252544 347248 363032 370924 380512 499169 694496 726064 741848 761024 998338 1020041 1388992 1452128 1483696 1522048 1996676 2040082 2132813 2777984 2904256 2967392 3993352 4080164 4265626 5808512 5934784 7986704 8160328 8531252 11869568 15973408 16320656 17062504 23460943 31946816 32641312 34125008 46921886 63893632 65282624 68250016 93843772 130565248 136500032 187687544 273000064 375375088 750750176 1501500352 3003000704