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3003291072 = 263217330139
BaseRepresentation
bin1011001100000010…
…1001010111000000
321202022012222211200
42303000221113000
522122320303242
61214002541200
7134265360435
oct26300512700
97668188750
103003291072
111301309041
126b9967800
1338b297512
14206c21b8c
151289e404c
hexb30295c0

3003291072 has 84 divisors (see below), whose sum is σ = 8658438360. Its totient is φ = 995277312.

The previous prime is 3003291059. The next prime is 3003291103. The reversal of 3003291072 is 2701923003.

3003291072 is a `hidden beast` number, since 300 + 3 + 291 + 0 + 72 = 666.

It is a congruent number.

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, 84579 + ... + 114717.

Almost surely, 23003291072 is an apocalyptic number.

3003291072 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 3003291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329219180).

3003291072 is an abundant number, since it is smaller than the sum of its proper divisors (5655147288).

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

3003291072 is a wasteful number, since it uses less digits than its factorization.

3003291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30330 (or 30317 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3003291072 is about 54802.2907550405. The cubic root of 3003291072 is about 1442.7767717011.

It can be divided in two parts, 300329 and 1072, that added together give a square (301401 = 5492).

The spelling of 3003291072 in words is "three billion, three million, two hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 11072 12456 16608 24912 30139 33216 49824 60278 90417 99648 120556 180834 241112 271251 361668 482224 542502 723336 964448 1085004 1446672 1928896 2170008 2893344 4340016 5214047 5786688 8680032 10428094 15642141 17360064 20856188 31284282 41712376 46926423 62568564 83424752 93852846 125137128 166849504 187705692 250274256 333699008 375411384 500548512 750822768 1001097024 1501645536 3003291072