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34504085 = 573113159
BaseRepresentation
bin1000001110011…
…1110110010101
32101220222201002
42003213312111
532313112320
63231313045
7566165000
oct203476625
971828632
1034504085
1118527480
12b67b785
1371c1125
144822537
153068675
hex20e7d95

34504085 has 64 divisors (see below), whose sum is σ = 55296000. Its totient is φ = 20462400.

The previous prime is 34504081. The next prime is 34504097. The reversal of 34504085 is 58040543.

It is not a de Polignac number, because 34504085 - 22 = 34504081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34504081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584786 + ... + 584844.

It is an arithmetic number, because the mean of its divisors is an integer number (864000).

Almost surely, 234504085 is an apocalyptic number.

34504085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34504085 is a deficient number, since it is larger than the sum of its proper divisors (20791915).

34504085 is a wasteful number, since it uses less digits than its factorization.

34504085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 34504085 is about 5874.0177902352. The cubic root of 34504085 is about 325.5543517363.

The spelling of 34504085 in words is "thirty-four million, five hundred four thousand, eighty-five".

Divisors: 1 5 7 11 31 35 49 55 59 77 155 217 245 295 341 343 385 413 539 649 1085 1519 1705 1715 1829 2065 2387 2695 2891 3245 3773 4543 7595 9145 10633 11935 12803 14455 16709 18865 20119 20237 22715 31801 53165 64015 83545 89621 100595 101185 116963 140833 159005 222607 448105 584815 627347 704165 985831 1113035 3136735 4929155 6900817 34504085