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34240338 = 23211279199
BaseRepresentation
bin1000001010011…
…1011101010010
32101102120220200
42002213131102
532231142323
63221520030
7564016026
oct202473522
971376820
1034240338
1118367300
12b573016
13712b072
144794386
153015443
hex20a7752

34240338 has 72 divisors (see below), whose sum is σ = 82992000. Its totient is φ = 10193040.

The previous prime is 34240319. The next prime is 34240391. The reversal of 34240338 is 83304243.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171963 + ... + 172161.

Almost surely, 234240338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41496000).

34240338 is an abundant number, since it is smaller than the sum of its proper divisors (48751662).

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

34240338 is a wasteful number, since it uses less digits than its factorization.

34240338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34240338 is about 5851.5244167653. The cubic root of 34240338 is about 324.7227236646.

The spelling of 34240338 in words is "thirty-four million, two hundred forty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 121 158 198 199 237 242 363 398 474 597 711 726 869 1089 1194 1422 1738 1791 2178 2189 2607 3582 4378 5214 6567 7821 9559 13134 15642 15721 19118 19701 24079 28677 31442 39402 47163 48158 57354 72237 86031 94326 141489 144474 172062 172931 216711 282978 345862 433422 518793 1037586 1556379 1902241 3112758 3804482 5706723 11413446 17120169 34240338