Search a number
-
+
3289790633284 = 221925928092
BaseRepresentation
bin101111110111110110110…
…011010101010101000100
3102122111112011110201221001
4233313312303111111010
5412344442400231114
610555150422303044
7456452035666051
oct57676663252504
912574464421831
103289790633284
111059213058721
12451700287a84
131ab2c24877cc
14b5326176028
155a89598a374
hex2fdf6cd5544

3289790633284 has 81 divisors (see below), whose sum is σ = 6188467944477. Its totient is φ = 1530016059456.

The previous prime is 3289790633281. The next prime is 3289790633293. The reversal of 3289790633284 is 4823360979823.

The square root of 3289790633284 is 1813778.

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

It can be written as a sum of positive squares in only one way, i.e., 2895708015684 + 394082617600 = 1701678^2 + 627760^2 .

It is not an unprimeable number, because it can be changed into a prime (3289790633281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4066489872 + ... + 4066490680.

Almost surely, 23289790633284 is an apocalyptic number.

3289790633284 is the 1813778-th square number.

It is an amenable number.

3289790633284 is a deficient number, since it is larger than the sum of its proper divisors (2898677311193).

3289790633284 is an frugal number, since it uses more digits than its factorization.

3289790633284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 64.

Multiplying 3289790633284 by its sum of digits (64), we get a square (210546600530176 = 145102242).

The spelling of 3289790633284 in words is "three trillion, two hundred eighty-nine billion, seven hundred ninety million, six hundred thirty-three thousand, two hundred eighty-four".

Divisors: 1 2 4 19 38 59 76 118 236 361 722 809 1121 1444 1618 2242 3236 3481 4484 6962 13924 15371 21299 30742 42598 47731 61484 66139 85196 95462 132278 190924 264556 292049 584098 654481 906889 1168196 1256641 1308962 1813778 2513282 2617924 2816129 3627556 5026564 5632258 11264516 12435139 17230891 24870278 34461782 38614379 49740556 53506451 68923564 77228758 107012902 154457516 214025804 236267641 472535282 733673201 945070564 1016622569 1467346402 2033245138 2278248361 2934692804 4066490276 4556496722 9112993444 13939790819 27879581638 43286718859 55759163276 86573437718 173146875436 822447658321 1644895316642 3289790633284