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34491198 = 23721767103
BaseRepresentation
bin1000001110010…
…0101100111110
32101220100000210
42003210230332
532312204243
63231133250
7566112300
oct203445476
971810023
1034491198
1118518825
12b674226
1371b82c1
14481b970
153064933
hex20e4b3e

34491198 has 96 divisors (see below), whose sum is σ = 87070464. Its totient is φ = 9047808.

The previous prime is 34491167. The next prime is 34491211. The reversal of 34491198 is 89119443.

34491198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334815 + ... + 334917.

It is an arithmetic number, because the mean of its divisors is an integer number (906984).

Almost surely, 234491198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34491198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43535232).

34491198 is an abundant number, since it is smaller than the sum of its proper divisors (52579266).

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

34491198 is a wasteful number, since it uses less digits than its factorization.

34491198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 34491198 is about 5872.9207384401. The cubic root of 34491198 is about 325.5138160398.

The spelling of 34491198 in words is "thirty-four million, four hundred ninety-one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 67 98 102 103 119 134 147 201 206 238 294 309 357 402 469 618 714 721 833 938 1139 1407 1442 1666 1751 2163 2278 2499 2814 3283 3417 3502 4326 4998 5047 5253 6566 6834 6901 7973 9849 10094 10506 12257 13802 15141 15946 19698 20703 23919 24514 30282 36771 41406 47838 48307 55811 73542 85799 96614 111622 117317 144921 167433 171598 234634 257397 289842 334866 338149 351951 514794 676298 703902 821219 1014447 1642438 2028894 2463657 4927314 5748533 11497066 17245599 34491198