Search a number
-
+
34248123 = 3371353263
BaseRepresentation
bin1000001010100…
…1010110111011
32101102222121000
42002221112323
532231414443
63222020043
7564050520
oct202512673
971388530
1034248123
1118372138
12b577623
137131780
144797147
1530178d3
hex20a95bb

34248123 has 64 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 17656704.

The previous prime is 34248113. The next prime is 34248133. The reversal of 34248123 is 32184243.

34248123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34248113) and next prime (34248133).

It is not a de Polignac number, because 34248123 - 24 = 34248107 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34248103) 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 63 ways as a sum of consecutive naturals, for example, 130090 + ... + 130352.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 234248123 is an apocalyptic number.

34248123 is a deficient number, since it is larger than the sum of its proper divisors (29618757).

34248123 is a wasteful number, since it uses less digits than its factorization.

34248123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 34248123 is about 5852.1895902303. The cubic root of 34248123 is about 324.7473318215.

The spelling of 34248123 in words is "thirty-four million, two hundred forty-eight thousand, one hundred twenty-three".

Divisors: 1 3 7 9 13 21 27 39 53 63 91 117 159 189 263 273 351 371 477 689 789 819 1113 1431 1841 2067 2367 2457 3339 3419 4823 5523 6201 7101 10017 10257 13939 14469 16569 18603 23933 30771 41817 43407 49707 71799 92313 97573 125451 130221 181207 215397 292719 376353 543621 646191 878157 1268449 1630863 2634471 3805347 4892589 11416041 34248123