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34198983 = 3371331449
BaseRepresentation
bin1000001001110…
…1010111000111
32101100111012000
42002131113013
532223331413
63221000343
7563454330
oct202352707
971314160
1034198983
1118339225
12b5530b3
1371152b0
144783287
153008073
hex209d5c7

34198983 has 64 divisors (see below), whose sum is σ = 64512000. Its totient is φ = 17418240.

The previous prime is 34198981. The next prime is 34199027. The reversal of 34198983 is 38989143.

34198983 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34198983 - 21 = 34198981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34198981) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 75943 + ... + 76391.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 234198983 is an apocalyptic number.

34198983 is a deficient number, since it is larger than the sum of its proper divisors (30313017).

34198983 is a wasteful number, since it uses less digits than its factorization.

34198983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 34198983 is about 5847.9896545736. The cubic root of 34198983 is about 324.5919391468.

The spelling of 34198983 in words is "thirty-four million, one hundred ninety-eight thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 13 21 27 31 39 63 91 93 117 189 217 273 279 351 403 449 651 819 837 1209 1347 1953 2457 2821 3143 3627 4041 5837 5859 8463 9429 10881 12123 13919 17511 25389 28287 40859 41757 52533 76167 84861 97433 122577 125271 157599 180947 292299 367731 375813 542841 876897 1103193 1266629 1628523 2630691 3799887 4885569 11399661 34198983