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34141664 = 2531127271
BaseRepresentation
bin1000001000111…
…1010111100000
32101020120120002
42002033113200
532220013124
63215435132
7563125244
oct202172740
971216502
1034141664
11182aa157
12b525aa8
1370c518b
14476a424
152ee60ae
hex208f5e0

34141664 has 48 divisors (see below), whose sum is σ = 70189056. Its totient is φ = 16329600.

The previous prime is 34141663. The next prime is 34141669. The reversal of 34141664 is 46614143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125849 + ... + 126119.

It is an arithmetic number, because the mean of its divisors is an integer number (1462272).

Almost surely, 234141664 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 34141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35094528).

34141664 is an abundant number, since it is smaller than the sum of its proper divisors (36047392).

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

34141664 is a wasteful number, since it uses less digits than its factorization.

34141664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 34141664 is about 5843.0868554215. The cubic root of 34141664 is about 324.4104942826.

The spelling of 34141664 in words is "thirty-four million, one hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 127 248 254 271 496 508 542 992 1016 1084 2032 2168 3937 4064 4336 7874 8401 8672 15748 16802 31496 33604 34417 62992 67208 68834 125984 134416 137668 268832 275336 550672 1066927 1101344 2133854 4267708 8535416 17070832 34141664