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34124733 = 35317443
BaseRepresentation
bin1000001000101…
…1001110111101
32101012201100000
42002023032331
532213442413
63215224513
7563025006
oct202131675
971181300
1034124733
1118298465
12b518139
1370ba566
1447641ad
152ee1073
hex208b3bd

34124733 has 24 divisors (see below), whose sum is σ = 51393888. Its totient is φ = 22626864.

The previous prime is 34124687. The next prime is 34124743. The reversal of 34124733 is 33742143.

34124733 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 34124733 - 28 = 34124477 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 34124697 and 34124706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124743) 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, 76810 + ... + 77252.

It is an arithmetic number, because the mean of its divisors is an integer number (2141412).

Almost surely, 234124733 is an apocalyptic number.

It is an amenable number.

34124733 is a deficient number, since it is larger than the sum of its proper divisors (17269155).

34124733 is an equidigital number, since it uses as much as digits as its factorization.

34124733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 763 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 34124733 is about 5841.6378696390. The cubic root of 34124733 is about 324.3568598897.

Adding to 34124733 its reverse (33742143), we get a palindrome (67866876).

The spelling of 34124733 in words is "thirty-four million, one hundred twenty-four thousand, seven hundred thirty-three".

Divisors: 1 3 9 27 81 243 317 443 951 1329 2853 3987 8559 11961 25677 35883 77031 107649 140431 421293 1263879 3791637 11374911 34124733