Search a number
-
+
34512114 = 23713312039
BaseRepresentation
bin1000001110100…
…1110011110010
32101221101201110
42003221303302
532313341424
63231414150
7566230260
oct203516362
971841643
1034512114
111853250a
12b684356
1371c4990
144825430
15306ac29
hex20e9cf2

34512114 has 64 divisors (see below), whose sum is σ = 87736320. Its totient is φ = 8804160.

The previous prime is 34512103. The next prime is 34512143. The reversal of 34512114 is 41121543.

34512114 = T452 + T453 + ... + T668.

34512114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15907 + ... + 17945.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 234512114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34512114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868160).

34512114 is an abundant number, since it is smaller than the sum of its proper divisors (53224206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34512114 is a wasteful number, since it uses less digits than its factorization.

34512114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095.

The product of its digits is 480, while the sum is 21.

The square root of 34512114 is about 5874.7011838901. The cubic root of 34512114 is about 325.5796016274.

Adding to 34512114 its reverse (41121543), we get a palindrome (75633657).

It can be divided in two parts, 3451 and 2114, that added together give a triangular number (5565 = T105).

The spelling of 34512114 in words is "thirty-four million, five hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2039 2418 2821 4078 5642 6117 8463 12234 14273 16926 26507 28546 42819 53014 63209 79521 85638 126418 159042 185549 189627 371098 379254 442463 556647 821717 884926 1113294 1327389 1643434 2465151 2654778 4930302 5752019 11504038 17256057 34512114