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3003301344 = 2531132511103
BaseRepresentation
bin1011001100000010…
…1011110111100000
321202022020111221010
42303000223313200
522122321120334
61214003100520
7134265432411
oct26300536740
97668214833
103003301344
11130131582a
126b9971740
1338b29c0b4
14206c25808
151289e70e9
hexb302bde0

3003301344 has 96 divisors (see below), whose sum is σ = 7992359424. Its totient is φ = 987392000.

The previous prime is 3003301333. The next prime is 3003301369. The reversal of 3003301344 is 4431033003.

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 3003301344.

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, 2722297 + ... + 2723399.

It is an arithmetic number, because the mean of its divisors is an integer number (83253744).

Almost surely, 23003301344 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 3003301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996179712).

3003301344 is an abundant number, since it is smaller than the sum of its proper divisors (4989058080).

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

3003301344 is a wasteful number, since it uses less digits than its factorization.

3003301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3003301344 is about 54802.3844736705. The cubic root of 3003301344 is about 1442.7784165839.

Adding to 3003301344 its reverse (4431033003), we get a palindrome (7434334347).

The spelling of 3003301344 in words is "three billion, three million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 251 339 452 502 678 753 904 1004 1103 1356 1506 1808 2008 2206 2712 3012 3309 3616 4016 4412 5424 6024 6618 8032 8824 10848 12048 13236 17648 24096 26472 28363 35296 52944 56726 85089 105888 113452 124639 170178 226904 249278 276853 340356 373917 453808 498556 553706 680712 747834 830559 907616 997112 1107412 1361424 1495668 1661118 1994224 2214824 2722848 2991336 3322236 3988448 4429648 5982672 6644472 8859296 11965344 13288944 26577888 31284389 62568778 93853167 125137556 187706334 250275112 375412668 500550224 750825336 1001100448 1501650672 3003301344