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34482375 = 335317601
BaseRepresentation
bin1000001110001…
…0100011000111
32101212212221000
42003202203013
532311414000
63231024343
7566044464
oct203424307
971785830
1034482375
1118512134
12b66b0b3
1371b4295
14481866b
153062000
hex20e28c7

34482375 has 64 divisors (see below), whose sum is σ = 67616640. Its totient is φ = 17280000.

The previous prime is 34482361. The next prime is 34482377. The reversal of 34482375 is 57328443.

It is a happy number.

It is not a de Polignac number, because 34482375 - 213 = 34474183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34482377) 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 63 ways as a sum of consecutive naturals, for example, 57075 + ... + 57675.

It is an arithmetic number, because the mean of its divisors is an integer number (1056510).

Almost surely, 234482375 is an apocalyptic number.

34482375 is a deficient number, since it is larger than the sum of its proper divisors (33134265).

34482375 is a wasteful number, since it uses less digits than its factorization.

34482375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 626 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 34482375 is about 5872.1695309315. The cubic root of 34482375 is about 325.4860577179.

The spelling of 34482375 in words is "thirty-four million, four hundred eighty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 125 135 153 225 255 375 425 459 601 675 765 1125 1275 1803 2125 2295 3005 3375 3825 5409 6375 9015 10217 11475 15025 16227 19125 27045 30651 45075 51085 57375 75125 81135 91953 135225 153255 225375 255425 275859 405675 459765 676125 766275 1277125 1379295 2028375 2298825 3831375 6896475 11494125 34482375