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34193031 = 3313371091
BaseRepresentation
bin1000001001101…
…1111010000111
32101100012000120
42002123322013
532223134111
63220513023
7563431065
oct202337207
971305016
1034193031
1118334804
12b54b773
137112682
144781035
153006406
hex209be87

34193031 has 16 divisors (see below), whose sum is σ = 47244288. Its totient is φ = 21974400.

The previous prime is 34192997. The next prime is 34193053. The reversal of 34193031 is 13039143.

34193031 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 34193031 - 27 = 34192903 is a prime.

It is a super-2 number, since 2×341930312 = 2338326737933922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34192992 and 34193010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34193431) 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 15 ways as a sum of consecutive naturals, for example, 30796 + ... + 31886.

It is an arithmetic number, because the mean of its divisors is an integer number (2952768).

Almost surely, 234193031 is an apocalyptic number.

34193031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34193031 is a deficient number, since it is larger than the sum of its proper divisors (13051257).

34193031 is a wasteful number, since it uses less digits than its factorization.

34193031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 34193031 is about 5847.4807396006. The cubic root of 34193031 is about 324.5731073654.

The spelling of 34193031 in words is "thirty-four million, one hundred ninety-three thousand, thirty-one".

Divisors: 1 3 31 93 337 1011 1091 3273 10447 31341 33821 101463 367667 1103001 11397677 34193031