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34242208 = 25711131069
BaseRepresentation
bin1000001010011…
…1111010100000
32101102200110221
42002213322200
532231222313
63221532424
7564024340
oct202477240
971380427
1034242208
1118368750
12b574114
13712bb80
144794d20
153015c8d
hex20a7ea0

34242208 has 96 divisors (see below), whose sum is σ = 90599040. Its totient is φ = 12303360.

The previous prime is 34242203. The next prime is 34242217. The reversal of 34242208 is 80224243.

It is not an unprimeable number, because it can be changed into a prime (34242203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31498 + ... + 32566.

It is an arithmetic number, because the mean of its divisors is an integer number (943740).

Almost surely, 234242208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45299520).

34242208 is an abundant number, since it is smaller than the sum of its proper divisors (56356832).

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

34242208 is a wasteful number, since it uses less digits than its factorization.

34242208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 34242208 is about 5851.6842020054. The cubic root of 34242208 is about 324.7286350201.

It can be divided in two parts, 34 and 242208, that added together give a palindrome (242242).

The spelling of 34242208 in words is "thirty-four million, two hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1069 1144 1232 1456 2002 2138 2288 2464 2912 4004 4276 4576 7483 8008 8552 11759 13897 14966 16016 17104 23518 27794 29932 32032 34208 47036 55588 59864 82313 94072 97279 111176 119728 152867 164626 188144 194558 222352 239456 305734 329252 376288 389116 444704 611468 658504 778232 1070069 1222936 1317008 1556464 2140138 2445872 2634016 3112928 4280276 4891744 8560552 17121104 34242208