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34198749 = 32132391223
BaseRepresentation
bin1000001001110…
…1010011011101
32101100110212100
42002131103131
532223324444
63220555313
7563453544
oct202352335
971313770
1034198749
1118339032
12b552b39
137115160
14478315b
153007e69
hex209d4dd

34198749 has 24 divisors (see below), whose sum is σ = 53464320. Its totient is φ = 20940192.

The previous prime is 34198721. The next prime is 34198753. The reversal of 34198749 is 94789143.

34198749 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 34198749 - 212 = 34194653 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34198709) 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 23 ways as a sum of consecutive naturals, for example, 27352 + ... + 28574.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 234198749 is an apocalyptic number.

34198749 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34198749 is a deficient number, since it is larger than the sum of its proper divisors (19265571).

34198749 is a wasteful number, since it uses less digits than its factorization.

34198749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1478 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 34198749 is about 5847.9696476641. The cubic root of 34198749 is about 324.5911988257.

The spelling of 34198749 in words is "thirty-four million, one hundred ninety-eight thousand, seven hundred forty-nine".

Divisors: 1 3 9 13 39 117 239 717 1223 2151 3107 3669 9321 11007 15899 27963 47697 143091 292297 876891 2630673 3799861 11399583 34198749