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34522540 = 22513232251
BaseRepresentation
bin1000001110110…
…0010110101100
32101221221000121
42003230112230
532314210130
63231534324
7566302543
oct203542654
971857017
1034522540
111853a328
12b68a3a4
1371c9650
14482915a
15306dd7a
hex20ec5ac

34522540 has 72 divisors (see below), whose sum is σ = 81941328. Its totient is φ = 12144000.

The previous prime is 34522511. The next prime is 34522559. The reversal of 34522540 is 4522543.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137415 + ... + 137665.

It is an arithmetic number, because the mean of its divisors is an integer number (1138074).

Almost surely, 234522540 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 34522540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40970664).

34522540 is an abundant number, since it is smaller than the sum of its proper divisors (47418788).

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

34522540 is a wasteful number, since it uses less digits than its factorization.

34522540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 34522540 is about 5875.5884811651. The cubic root of 34522540 is about 325.6123838476.

The spelling of 34522540 in words is "thirty-four million, five hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 251 260 299 460 502 529 598 1004 1058 1196 1255 1495 2116 2510 2645 2990 3263 5020 5290 5773 5980 6526 6877 10580 11546 13052 13754 16315 23092 27508 28865 32630 34385 57730 65260 68770 75049 115460 132779 137540 150098 265558 300196 375245 531116 663895 750490 1327790 1500980 1726127 2655580 3452254 6904508 8630635 17261270 34522540