Search a number
-
+
3446884503390 = 2353143791091059
BaseRepresentation
bin110010001010001010010…
…100111000111101011110
3110012112000022022012011110
4302022022110320331132
5422433204413102030
611155251001202450
7504013003601256
oct62121224707536
913175008265143
103446884503390
1111098a7495439
12478042790426
131c0069618533
14bcb89b1a966
155e9dc2271b0
hex3228a538f5e

3446884503390 has 128 divisors (see below), whose sum is σ = 8848583884800. Its totient is φ = 857833441920.

The previous prime is 3446884503389. The next prime is 3446884503409. The reversal of 3446884503390 is 933054886443.

3446884503390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3446884503390.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2613681 + ... + 3704739.

It is an arithmetic number, because the mean of its divisors is an integer number (69129561600).

Almost surely, 23446884503390 is an apocalyptic number.

3446884503390 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 3446884503390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424291942400).

3446884503390 is an abundant number, since it is smaller than the sum of its proper divisors (5401699381410).

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

3446884503390 is a wasteful number, since it uses less digits than its factorization.

3446884503390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091222.

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 3446884503390 in words is "three trillion, four hundred forty-six billion, eight hundred eighty-four million, five hundred three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 43 62 79 86 93 129 155 158 186 215 237 258 310 395 430 465 474 645 790 930 1185 1290 1333 2370 2449 2666 3397 3999 4898 6665 6794 7347 7998 10191 12245 13330 14694 16985 19995 20382 24490 33970 36735 39990 50955 73470 101910 105307 210614 315921 526535 631842 1053070 1091059 1579605 2182118 3159210 3273177 5455295 6546354 10910590 16365885 32731770 33822829 46915537 67645658 86193661 93831074 101468487 140746611 169114145 172387322 202936974 234577685 258580983 281493222 338228290 430968305 469155370 507342435 517161966 703733055 861936610 1014684870 1292904915 1407466110 1454381647 2585809830 2672003491 2908763294 3706327423 4363144941 5344006982 7271908235 7412654846 8016010473 8726289882 11118982269 13360017455 14543816470 16032020946 18531637115 21815724705 22237964538 26720034910 37063274230 40080052365 43631449410 55594911345 80160104730 111189822690 114896150113 229792300226 344688450339 574480750565 689376900678 1148961501130 1723442251695 3446884503390