Search a number
-
+
343342101243296 = 2589975472272103
BaseRepresentation
bin100111000010001001000111…
…1111110110010010110100000
31200000200011222100222122210002
41032010102033332302112200
5330000304110404241141
63214121103412555132
7132214435224430031
oct11604221776622640
91600604870878702
10343342101243296
119a443627272811
1232611bbb022aa8
131197703781534c
1460adbbc608a88
1529a61b1675e9b
hex138448ffb25a0

343342101243296 has 96 divisors (see below), whose sum is σ = 691859485134720. Its totient is φ = 167685053792256.

The previous prime is 343342101243289. The next prime is 343342101243331. The reversal of 343342101243296 is 692342101243343.

It is a self number, because there is not a number n which added to its sum of digits gives 343342101243296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149975981 + ... + 152248083.

It is an arithmetic number, because the mean of its divisors is an integer number (7206869636820).

Almost surely, 2343342101243296 is an apocalyptic number.

It is an amenable number.

343342101243296 is an abundant number, since it is smaller than the sum of its proper divisors (348517383891424).

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

343342101243296 is a wasteful number, since it uses less digits than its factorization.

343342101243296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272846 (or 2272838 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 47.

Adding to 343342101243296 its sum of digits (47), we get a palindrome (343342101243343).

The spelling of 343342101243296 in words is "three hundred forty-three trillion, three hundred forty-two billion, one hundred one million, two hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 89 97 178 194 356 388 547 712 776 1094 1424 1552 2188 2848 3104 4376 8633 8752 17266 17504 34532 48683 53059 69064 97366 106118 138128 194732 212236 276256 389464 424472 778928 848944 1557856 1697888 2272103 4544206 4722251 9088412 9444502 18176824 18889004 36353648 37778008 72707296 75556016 151112032 202217167 220393991 404434334 440787982 808868668 881575964 1242840341 1617737336 1763151928 2485680682 3235474672 3526303856 4971361364 6470949344 7052607712 9942722728 19615065199 19885445456 39230130398 39770890912 78460260796 110612790349 120555513077 156920521592 221225580698 241111026154 313841043184 442451161396 482222052308 627682086368 884902322792 964444104616 1769804645584 1928888209232 3539609291168 3857776418464 10729440663853 21458881327706 42917762655412 85835525310824 171671050621648 343342101243296