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300008829978 = 2321121317623281
BaseRepresentation
bin1000101110110011110…
…10110111010000011010
31001200101010112122012100
410113121322313100122
514403404230024403
6345453330224230
730450332656614
oct4273172672032
91050333478170
10300008829978
11106262188400
124a188425076
13223a1900a50
141074039ddb4
157c0d3552a3
hex45d9eb741a

300008829978 has 144 divisors (see below), whose sum is σ = 814706860968. Its totient is φ = 78982041600.

The previous prime is 300008829973. The next prime is 300008830007. The reversal of 300008829978 is 879928800003.

It can be written as a sum of positive squares in 4 ways, for example, as 292933160289 + 7075669689 = 541233^2 + 84117^2 .

It is a super-2 number, since 2×3000088299782 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (300008829971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169698 + ... + 792978.

Almost surely, 2300008829978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300008829978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407353430484).

300008829978 is an abundant number, since it is smaller than the sum of its proper divisors (514698030990).

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

300008829978 is a wasteful number, since it uses less digits than its factorization.

300008829978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623341 (or 623327 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 300008829978 in words is "three hundred billion, eight million, eight hundred twenty-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 121 143 153 187 198 221 234 242 286 306 363 374 429 442 561 663 726 858 1089 1122 1287 1326 1573 1683 1989 2057 2178 2431 2574 3146 3366 3978 4114 4719 4862 6171 7293 9438 12342 14157 14586 18513 21879 26741 28314 37026 43758 53482 80223 160446 240669 481338 623281 1246562 1869843 3739686 5609529 6856091 8102653 10595777 11219058 13712182 16205306 20568273 21191554 24307959 31787331 41136546 48615918 61704819 63574662 72923877 75417001 89129183 95361993 116553547 123409638 137745101 145847754 150834002 178258366 190723986 226251003 233107094 267387549 275490202 349660641 413235303 452502006 534775098 678753009 699321282 802162647 826470606 980421013 1048981923 1239705909 1282089017 1357506018 1515196111 1604325294 1960842026 2097963846 2479411818 2564178034 2941263039 3030392222 3846267051 4545588333 5882526078 7692534102 8823789117 9091176666 11538801153 13636764999 16667157221 17647578234 23077602306 27273529998 33334314442 50001471663 100002943326 150004414989 300008829978