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3003069472 = 251319219997
BaseRepresentation
bin1011001011111111…
…0011010000100000
321202021210201212021
42302333303100200
522122241210342
61213554111224
7134263445404
oct26277632040
97667721767
103003069472
1113011775a7
126b987b514
1338b21a6b0
14206ba5104
1512899d567
hexb2ff3420

3003069472 has 72 divisors (see below), whose sum is σ = 6720167916. Its totient is φ = 1313017344.

The previous prime is 3003069449. The next prime is 3003069493. The reversal of 3003069472 is 2749603003.

3003069472 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 2 ways, for example, as 3002601616 + 467856 = 54796^2 + 684^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140178 + ... + 160174.

Almost surely, 23003069472 is an apocalyptic number.

3003069472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003069472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360083958).

3003069472 is an abundant number, since it is smaller than the sum of its proper divisors (3717098444).

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

3003069472 is a wasteful number, since it uses less digits than its factorization.

3003069472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20058 (or 20031 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 3003069472 is about 54800.2689044497. The cubic root of 3003069472 is about 1442.7412853863.

The spelling of 3003069472 in words is "three billion, three million, sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 361 416 494 608 722 988 1444 1976 2888 3952 4693 5776 7904 9386 11552 18772 19997 37544 39994 75088 79988 150176 159976 259961 319952 379943 519922 639904 759886 1039844 1519772 2079688 3039544 4159376 4939259 6079088 7218917 8318752 9878518 12158176 14437834 19757036 28875668 39514072 57751336 79028144 93845921 115502672 158056288 187691842 231005344 375383684 750767368 1501534736 3003069472