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34340031 = 351129443
BaseRepresentation
bin1000001011111…
…1110010111111
32101121122200000
42002333302333
532242340111
63224005343
7564612465
oct202776277
971548600
1034340031
11184251a0
12b600853
13716455b
1447bc835
153034c56
hex20bfcbf

34340031 has 48 divisors (see below), whose sum is σ = 58181760. Its totient is φ = 20049120.

The previous prime is 34340023. The next prime is 34340041. The reversal of 34340031 is 13004343.

It is not a de Polignac number, because 34340031 - 23 = 34340023 is a prime.

It is a super-2 number, since 2×343400312 = 2358475458161922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34339986 and 34340013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77296 + ... + 77738.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 234340031 is an apocalyptic number.

34340031 is a deficient number, since it is larger than the sum of its proper divisors (23841729).

34340031 is a wasteful number, since it uses less digits than its factorization.

34340031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34340031 is about 5860.0367746286. The cubic root of 34340031 is about 325.0375688326.

Adding to 34340031 its reverse (13004343), we get a palindrome (47344374).

The spelling of 34340031 in words is "thirty-four million, three hundred forty thousand, thirty-one".

Divisors: 1 3 9 11 27 29 33 81 87 99 243 261 297 319 443 783 891 957 1329 2349 2673 2871 3987 4873 7047 8613 11961 12847 14619 25839 35883 38541 43857 77517 107649 115623 131571 141317 346869 394713 423951 1040607 1184139 1271853 3121821 3815559 11446677 34340031