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345043459216 = 241925921312
BaseRepresentation
bin1010000010101100011…
…00010101110010010000
31012222121200010211122101
411001112030111302100
521123122111143331
6422302154450144
733633333004021
oct5012614256220
91188550124571
10345043459216
11123372045955
1256a56433954
13266caa47c61
14129b3484c48
158e96d34061
hex5056315c90

345043459216 has 135 divisors (see below), whose sum is σ = 723240833043. Its totient is φ = 159444941760.

The previous prime is 345043459183. The next prime is 345043459231. The reversal of 345043459216 is 612954340543.

The square root of 345043459216 is 587404.

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

It is a super-3 number, since 3×3450434592163 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2633919471 + ... + 2633919601.

Almost surely, 2345043459216 is an apocalyptic number.

345043459216 is the 587404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345043459216

345043459216 is an abundant number, since it is smaller than the sum of its proper divisors (378197373827).

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

345043459216 is an equidigital number, since it uses as much as digits as its factorization.

345043459216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

Adding to 345043459216 its reverse (612954340543), we get a palindrome (957997799759).

The spelling of 345043459216 in words is "three hundred forty-five billion, forty-three million, four hundred fifty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 38 59 76 118 131 152 236 262 304 361 472 524 722 944 1048 1121 1444 2096 2242 2489 2888 3481 4484 4978 5776 6962 7729 8968 9956 13924 15458 17161 17936 19912 21299 27848 30916 34322 39824 42598 47291 55696 61832 66139 68644 85196 94582 123664 132278 137288 146851 170392 189164 264556 274576 293702 326059 340784 378328 456011 529112 587404 652118 756656 912022 1012499 1058224 1174808 1256641 1304236 1824044 2024998 2349616 2513282 2608472 2790169 3648088 4049996 5026564 5216944 5580338 6195121 7296176 8099992 8664209 10053128 11160676 12390242 16199984 17328418 19237481 20106256 22321352 24780484 34656836 38474962 44642704 49560968 59737441 69313672 76949924 99121936 119474882 138627344 153899848 164619971 238949764 307799696 329239942 365512139 477899528 658479884 731024278 955799056 1135011379 1316959768 1462048556 2270022758 2633919536 2924097112 4540045516 5848194224 9080091032 18160182064 21565216201 43130432402 86260864804 172521729608 345043459216