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3036412890 = 2325721494621
BaseRepresentation
bin1011010011111011…
…1111101111011010
321211121112202102200
42310332333233122
522204310203030
61221144511030
7135150040500
oct26476775732
97747482380
103036412890
111318a80a45
12708a7b476
133950c3424
1420b3a4670
1512b887d60
hexb4fbfbda

3036412890 has 144 divisors (see below), whose sum is σ = 9247235400. Its totient is φ = 689230080.

The previous prime is 3036412889. The next prime is 3036412903. The reversal of 3036412890 is 982146303.

3036412890 is a `hidden beast` number, since 3 + 0 + 3 + 641 + 2 + 8 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1637578089 + 1398834801 = 40467^2 + 37401^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 654780 + ... + 659400.

Almost surely, 23036412890 is an apocalyptic number.

3036412890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3036412890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623617700).

3036412890 is an abundant number, since it is smaller than the sum of its proper divisors (6210822510).

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

3036412890 is a wasteful number, since it uses less digits than its factorization.

3036412890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3036412890 is about 55103.6558678279. The cubic root of 3036412890 is about 1448.0612837554.

The spelling of 3036412890 in words is "three billion, thirty-six million, four hundred twelve thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 149 210 245 294 298 315 441 447 490 630 735 745 882 894 1043 1341 1470 1490 2086 2205 2235 2682 3129 4410 4470 4621 5215 6258 6705 7301 9242 9387 10430 13410 13863 14602 15645 18774 21903 23105 27726 31290 32347 36505 41589 43806 46210 46935 64694 65709 69315 73010 83178 93870 97041 109515 131418 138630 161735 194082 207945 219030 226429 291123 323470 328545 415890 452858 485205 582246 657090 679287 688529 970410 1132145 1358574 1377058 1455615 2037861 2065587 2264290 2911230 3396435 3442645 4075722 4131174 4819703 6196761 6792870 6885290 9639406 10189305 10327935 12393522 14459109 20378610 20655870 24098515 28918218 30983805 33737921 43377327 48197030 61967610 67475842 72295545 86754654 101213763 144591090 168689605 202427526 216886635 303641289 337379210 433773270 506068815 607282578 1012137630 1518206445 3036412890