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34505505 = 32529137193
BaseRepresentation
bin1000001110100…
…0001100100001
32101221001122200
42003220030201
532313134010
63231323413
7566202066
oct203501441
971831580
1034505505
1118528551
12b680569
1371c1978
144822c6d
153068cc0
hex20e8321

34505505 has 48 divisors (see below), whose sum is σ = 62646480. Its totient is φ = 17547264.

The previous prime is 34505489. The next prime is 34505509. The reversal of 34505505 is 50550543.

It can be written as a sum of positive squares in 8 ways, for example, as 772641 + 33732864 = 879^2 + 5808^2 .

It is not a de Polignac number, because 34505505 - 24 = 34505489 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34505509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178689 + ... + 178881.

It is an arithmetic number, because the mean of its divisors is an integer number (1305135).

Almost surely, 234505505 is an apocalyptic number.

It is an amenable number.

34505505 is a deficient number, since it is larger than the sum of its proper divisors (28140975).

34505505 is a wasteful number, since it uses less digits than its factorization.

34505505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 34505505 is about 5874.1386602633. The cubic root of 34505505 is about 325.5588176890.

The spelling of 34505505 in words is "thirty-four million, five hundred five thousand, five hundred five".

Divisors: 1 3 5 9 15 29 45 87 137 145 193 261 411 435 579 685 965 1233 1305 1737 2055 2895 3973 5597 6165 8685 11919 16791 19865 26441 27985 35757 50373 59595 79323 83955 132205 178785 237969 251865 396615 766789 1189845 2300367 3833945 6901101 11501835 34505505