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34204014 = 23213313467
BaseRepresentation
bin1000001001111…
…0100101101110
32101100202002100
42002132211232
532224012024
63221035530
7563505105
oct202364556
971322070
1034204014
1118341a89
12b555ba6
137117680
14478503c
1530097c9
hex209e96e

34204014 has 48 divisors (see below), whose sum is σ = 80235792. Its totient is φ = 10468224.

The previous prime is 34203997. The next prime is 34204019. The reversal of 34204014 is 41040243.

34204014 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34204019) 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, 73009 + ... + 73475.

It is an arithmetic number, because the mean of its divisors is an integer number (1671579).

Almost surely, 234204014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34204014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40117896).

34204014 is an abundant number, since it is smaller than the sum of its proper divisors (46031778).

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

34204014 is a wasteful number, since it uses less digits than its factorization.

34204014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34204014 is about 5848.4197865748. The cubic root of 34204014 is about 324.6078552338.

Adding to 34204014 its reverse (41040243), we get a palindrome (75244257).

The spelling of 34204014 in words is "thirty-four million, two hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 313 467 626 934 939 1401 1878 2802 2817 4069 4203 5634 6071 8138 8406 12142 12207 18213 24414 36426 36621 54639 73242 109278 146171 292342 438513 877026 1315539 1900223 2631078 3800446 5700669 11401338 17102007 34204014