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34514505 = 36517557
BaseRepresentation
bin1000001110101…
…0011001001001
32101221112000000
42003222121021
532313431010
63231433213
7566240244
oct203523111
971845000
1034514505
1118534293
12b685809
1371c5aac
14482625b
15306b7c0
hex20ea649

34514505 has 56 divisors (see below), whose sum is σ = 65868552. Its totient is φ = 17293824.

The previous prime is 34514503. The next prime is 34514531. The reversal of 34514505 is 50541543.

It can be written as a sum of positive squares in 4 ways, for example, as 1750329 + 32764176 = 1323^2 + 5724^2 .

It is not a de Polignac number, because 34514505 - 21 = 34514503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34514503) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 61687 + ... + 62243.

Almost surely, 234514505 is an apocalyptic number.

It is an amenable number.

34514505 is a deficient number, since it is larger than the sum of its proper divisors (31354047).

34514505 is an equidigital number, since it uses as much as digits as its factorization.

34514505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 34514505 is about 5874.9046800778. The cubic root of 34514505 is about 325.5871201744.

The spelling of 34514505 in words is "thirty-four million, five hundred fourteen thousand, five hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 405 459 557 729 765 1215 1377 1671 2295 2785 3645 4131 5013 6885 8355 9469 12393 15039 20655 25065 28407 45117 47345 61965 75195 85221 135351 142035 225585 255663 406053 426105 676755 766989 1278315 2030265 2300967 3834945 6902901 11504835 34514505