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3300740438436 = 223472144192
BaseRepresentation
bin110000000010000011011…
…101100001100110100100
3102200112210021110110210000
4300002003131201212210
5413034404023012221
611004201134501300
7460320265543200
oct60020335414644
912615707413700
103300740438436
111062921a22371
12453857364830
131ac348b8915c
14b5a844dbb00
155acd6e11e26
hex300837619a4

3300740438436 has 135 divisors (see below), whose sum is σ = 10038265320699. Its totient is φ = 943003292112.

The previous prime is 3300740438399. The next prime is 3300740438459. The reversal of 3300740438436 is 6348340470033.

The square root of 3300740438436 is 1816794.

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

It is a super-2 number, since 2×33007404384362 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3300740438391 and 3300740438400.

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, 228908835 + ... + 228923253.

Almost surely, 23300740438436 is an apocalyptic number.

3300740438436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3300740438436 is the 1816794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300740438436

3300740438436 is an abundant number, since it is smaller than the sum of its proper divisors (6737524882263).

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

3300740438436 is an frugal number, since it uses more digits than its factorization.

3300740438436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28868 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 3300740438436 in words is "three trillion, three hundred billion, seven hundred forty million, four hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 14419 15876 28838 43257 57676 86514 100933 129771 173028 201866 259542 302799 389313 403732 519084 605598 706531 778626 908397 1167939 1211196 1413062 1557252 1816794 2119593 2335878 2725191 2826124 3633588 4239186 4671756 5450382 6358779 8175573 8478372 10900764 12717558 16351146 19076337 25435116 32702292 38152674 57229011 76305348 114458022 207907561 228916044 415815122 623722683 831630244 1247445366 1455352927 1871168049 2494890732 2910705854 3742336098 4366058781 5613504147 5821411708 7484672196 8732117562 10187470489 11227008294 13098176343 16840512441 17464235124 20374940978 22454016588 26196352686 30562411467 33681024882 39294529029 40749881956 52392705372 61124822934 67362049764 78589058058 91687234401 117883587087 122249645868 157178116116 183374468802 235767174174 275061703203 366748937604 471534348348 550123406406 825185109609 1100246812812 1650370219218 3300740438436