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34206704 = 247323271
BaseRepresentation
bin1000001001111…
…1001111110000
32101100212202222
42002133033300
532224103304
63221100212
7563516000
oct202371760
971325688
1034206704
1118344004
12b557668
13711896c
144786000
15300a4be
hex209f3f0

34206704 has 80 divisors (see below), whose sum is σ = 80947200. Its totient is φ = 13970880.

The previous prime is 34206701. The next prime is 34206743. The reversal of 34206704 is 40760243.

It is a happy number.

34206704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34206701) 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 15 ways as a sum of consecutive naturals, for example, 126089 + ... + 126359.

It is an arithmetic number, because the mean of its divisors is an integer number (1011840).

Almost surely, 234206704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34206704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40473600).

34206704 is an abundant number, since it is smaller than the sum of its proper divisors (46740496).

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

34206704 is a wasteful number, since it uses less digits than its factorization.

34206704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 34206704 is about 5848.6497587050. The cubic root of 34206704 is about 324.6163646858.

Adding to 34206704 its reverse (40760243), we get a palindrome (74966947).

The spelling of 34206704 in words is "thirty-four million, two hundred six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 271 322 343 368 392 542 644 686 784 1084 1127 1288 1372 1897 2168 2254 2576 2744 3794 4336 4508 5488 6233 7588 7889 9016 12466 13279 15176 15778 18032 24932 26558 30352 31556 43631 49864 53116 63112 87262 92953 99728 106232 126224 174524 185906 212464 305417 349048 371812 610834 698096 743624 1221668 1487248 2137919 2443336 4275838 4886672 8551676 17103352 34206704