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34140393 = 337315827
BaseRepresentation
bin1000001000111…
…1000011101001
32101020111211000
42002033003221
532214443033
63215425213
7563121450
oct202170351
971214730
1034140393
11182a9201
12b525209
1370c4721
144769b97
152ee5a13
hex208f0e9

34140393 has 32 divisors (see below), whose sum is σ = 59678720. Its totient is φ = 18876240.

The previous prime is 34140389. The next prime is 34140443. The reversal of 34140393 is 39304143.

It is not a de Polignac number, because 34140393 - 22 = 34140389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34140343) 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 31 ways as a sum of consecutive naturals, for example, 2946 + ... + 8772.

It is an arithmetic number, because the mean of its divisors is an integer number (1864960).

Almost surely, 234140393 is an apocalyptic number.

It is an amenable number.

34140393 is a deficient number, since it is larger than the sum of its proper divisors (25538327).

34140393 is a wasteful number, since it uses less digits than its factorization.

34140393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34140393 is about 5842.9780934041. The cubic root of 34140393 is about 324.4064685966.

The spelling of 34140393 in words is "thirty-four million, one hundred forty thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5827 5859 17481 40789 52443 122367 157329 180637 367101 541911 1101303 1264459 1625733 3793377 4877199 11380131 34140393