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34213243304430 = 23251779283058189
BaseRepresentation
bin1111100011101111001000…
…01101101011100111101110
311111010202100202021201022100
413301313210031223213232
513441022210241220210
6200433202541155530
710130553030521331
oct761674415534756
9144122322251270
1034213243304430
11a9a08339a9513
123a06909b5bba6
1316123ab165758
14863d0358c618
153e4e71bba5c0
hex1f1de436b9ee

34213243304430 has 96 divisors (see below), whose sum is σ = 95379287702400. Its totient is φ = 8478158846976.

The previous prime is 34213243304417. The next prime is 34213243304431. The reversal of 34213243304430 is 3440334231243.

34213243304430 is a `hidden beast` number, since 3 + 4 + 21 + 324 + 3 + 304 + 4 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213243304431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141408225 + ... + 141649964.

It is an arithmetic number, because the mean of its divisors is an integer number (993534246900).

Almost surely, 234213243304430 is an apocalyptic number.

34213243304430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34213243304430 is an abundant number, since it is smaller than the sum of its proper divisors (61166044397970).

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

34213243304430 is a wasteful number, since it uses less digits than its factorization.

34213243304430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283058298 (or 283058295 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34213243304430 its reverse (3440334231243), we get a palindrome (37653577535673).

The spelling of 34213243304430 in words is "thirty-four trillion, two hundred thirteen billion, two hundred forty-three million, three hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 79 85 90 102 153 158 170 237 255 306 395 474 510 711 765 790 1185 1343 1422 1530 2370 2686 3555 4029 6715 7110 8058 12087 13430 20145 24174 40290 60435 120870 283058189 566116378 849174567 1415290945 1698349134 2547523701 2830581890 4245872835 4811989213 5095047402 8491745670 9623978426 12737618505 14435967639 22361596931 24059946065 25475237010 28871935278 43307902917 44723193862 48119892130 67084790793 72179838195 86615805834 111807984655 134169581586 144359676390 201254372379 216539514585 223615969310 335423953965 380147147827 402508744758 433079029170 670847907930 760294295654 1006271861895 1140441443481 1900735739135 2012543723790 2280882886962 3421324330443 3801471478270 5702207217405 6842648660886 11404414434810 17106621652215 34213243304430