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343918910916 = 223272139632
BaseRepresentation
bin1010000000100110010…
…10100001110111000100
31012212201022002212101100
411000103022201313010
521113321220122131
6421554423500100
733563426336400
oct5002312416704
91185638085340
10343918910916
11122945294099
12567a18b7630
132657ba80869
1412907d96100
158e2d24e7e6
hex50132a1dc4

343918910916 has 81 divisors (see below), whose sum is σ = 1011357800271. Its totient is φ = 98255508624.

The previous prime is 343918910893. The next prime is 343918910969. The reversal of 343918910916 is 619019819343.

The square root of 343918910916 is 586446.

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

343918910916 is a `hidden beast` number, since 3 + 439 + 189 + 10 + 9 + 16 = 666.

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, 24623751 + ... + 24637713.

Almost surely, 2343918910916 is an apocalyptic number.

343918910916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

343918910916 is the 586446-th square number.

It is an amenable number.

343918910916 is an abundant number, since it is smaller than the sum of its proper divisors (667438889355).

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

343918910916 is an equidigital number, since it uses as much as digits as its factorization.

343918910916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27950 (or 13975 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 343918910916 in words is "three hundred forty-three billion, nine hundred eighteen million, nine hundred ten thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 13963 27926 41889 55852 83778 97741 125667 167556 195482 251334 293223 390964 502668 586446 684187 879669 1172892 1368374 1759338 2052561 2736748 3518676 4105122 6157683 8210244 12315366 24630732 194965369 389930738 584896107 779861476 1169792214 1364757583 1754688321 2339584428 2729515166 3509376642 4094272749 5459030332 7018753284 8188545498 9553303081 12282818247 16377090996 19106606162 24565636494 28659909243 38213212324 49131272988 57319818486 85979727729 114639636972 171959455458 343918910916