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6730233444 = 22321141132
BaseRepresentation
bin1100100010010011…
…10011011001100100
3122101001010021122100
412101021303121210
5102240414432234
63031500132100
7325532016564
oct62111633144
918331107570
106730233444
112944050000
121379b37030
1383346246c
1447bbb6da4
15295ccd399
hex191273664

6730233444 has 135 divisors (see below), whose sum is σ = 18880745065. Its totient is φ = 2021416320.

The previous prime is 6730233439. The next prime is 6730233457. The reversal of 6730233444 is 4443320376.

The square root of 6730233444 is 82038.

It is a perfect power (a square), and thus also a powerful number.

6730233444 is a `hidden beast` number, since 6 + 7 + 302 + 3 + 344 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118592100 + 6611641344 = 10890^2 + 81312^2 .

It is a super-2 number, since 2×67302334442 = 90592084421472202272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6730233399 and 6730233408.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59559532 + ... + 59559644.

Almost surely, 26730233444 is an apocalyptic number.

6730233444 is the 82038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6730233444

6730233444 is an abundant number, since it is smaller than the sum of its proper divisors (12150511621).

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

6730233444 is a wasteful number, since it uses less digits than its factorization.

6730233444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The cubic root of 6730233444 is about 1888.0350082234.

Multiplying 6730233444 by its sum of digits (36), we get a square (242288403984 = 4922282).

6730233444 divided by its sum of digits (36) gives a square (186950929 = 136732).

The spelling of 6730233444 in words is "six billion, seven hundred thirty million, two hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 121 132 198 226 242 339 363 396 452 484 678 726 1017 1089 1243 1331 1356 1452 2034 2178 2486 2662 3729 3993 4068 4356 4972 5324 7458 7986 11187 11979 12769 13673 14641 14916 15972 22374 23958 25538 27346 29282 38307 41019 43923 44748 47916 51076 54692 58564 76614 82038 87846 114921 123057 131769 140459 150403 153228 164076 175692 229842 246114 263538 280918 300806 421377 451209 459684 492228 527076 561836 601612 842754 902418 1264131 1353627 1545049 1654433 1685508 1804836 2528262 2707254 3090098 3308866 4635147 4963299 5056524 5414508 6180196 6617732 9270294 9926598 13905441 14889897 16995539 18540588 19853196 27810882 29779794 33991078 50986617 55621764 59559588 67982156 101973234 152959851 186950929 203946468 305919702 373901858 560852787 611839404 747803716 1121705574 1682558361 2243411148 3365116722 6730233444