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34325564 = 22713181521
BaseRepresentation
bin1000001011110…
…0010000111100
32101120220211012
42002330100330
532241404224
63223414352
7564522350
oct202742074
971526735
1034325564
1118415339
12b5b43b8
13715aab0
1447b7460
15303080e
hex20bc43c

34325564 has 48 divisors (see below), whose sum is σ = 74483136. Its totient is φ = 13478400.

The previous prime is 34325539. The next prime is 34325581. The reversal of 34325564 is 46552343.

34325564 is nontrivially palindromic in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 34325564.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65624 + ... + 66144.

It is an arithmetic number, because the mean of its divisors is an integer number (1551732).

Almost surely, 234325564 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 34325564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37241568).

34325564 is an abundant number, since it is smaller than the sum of its proper divisors (40157572).

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

34325564 is a wasteful number, since it uses less digits than its factorization.

34325564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

The square root of 34325564 is about 5858.8022666753. The cubic root of 34325564 is about 324.9919177477.

The spelling of 34325564 in words is "thirty-four million, three hundred twenty-five thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 181 182 362 364 521 724 1042 1267 2084 2353 2534 3647 4706 5068 6773 7294 9412 13546 14588 16471 27092 32942 47411 65884 94301 94822 188602 189644 377204 660107 1225913 1320214 2451826 2640428 4903652 8581391 17162782 34325564