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34482208 = 2547101227
BaseRepresentation
bin1000001110001…
…0100000100000
32101212212200211
42003202200200
532311412313
63231023504
7566044135
oct203424040
971785624
1034482208
1118511aa2
12b66ab94
1371b4197
14481858c
153061e3d
hex20e2820

34482208 has 48 divisors (see below), whose sum is σ = 70326144. Its totient is φ = 16633600.

The previous prime is 34482197. The next prime is 34482211. The reversal of 34482208 is 80228443.

It is a self number, because there is not a number n which added to its sum of digits gives 34482208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151791 + ... + 152017.

It is an arithmetic number, because the mean of its divisors is an integer number (1465128).

Almost surely, 234482208 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 34482208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163072).

34482208 is an abundant number, since it is smaller than the sum of its proper divisors (35843936).

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

34482208 is a wasteful number, since it uses less digits than its factorization.

34482208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 34482208 is about 5872.1553112975. The cubic root of 34482208 is about 325.4855322682.

The spelling of 34482208 in words is "thirty-four million, four hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 47 94 101 188 202 227 376 404 454 752 808 908 1504 1616 1816 3232 3632 4747 7264 9494 10669 18988 21338 22927 37976 42676 45854 75952 85352 91708 151904 170704 183416 341408 366832 733664 1077569 2155138 4310276 8620552 17241104 34482208