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34000525 = 5213233449
BaseRepresentation
bin1000000110110…
…0111010001101
32100222101221201
42001230322031
532201004100
63212425501
7561666616
oct201547215
970871851
1034000525
1118213109
12b478291
137075b70
144730c0d
152eb936a
hex206ce8d

34000525 has 24 divisors (see below), whose sum is σ = 45700200. Its totient is φ = 24944640.

The previous prime is 34000517. The next prime is 34000529. The reversal of 34000525 is 52500043.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 18610596 + 15389929 = 4314^2 + 3923^2 .

It is not a de Polignac number, because 34000525 - 23 = 34000517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75501 + ... + 75949.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 234000525 is an apocalyptic number.

It is an amenable number.

34000525 is a deficient number, since it is larger than the sum of its proper divisors (11699675).

34000525 is a wasteful number, since it uses less digits than its factorization.

34000525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 34000525 is about 5830.9969130501. The cubic root of 34000525 is about 323.9628475664.

Adding to 34000525 its reverse (52500043), we get a palindrome (86500568).

The spelling of 34000525 in words is "thirty-four million, five hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 13 25 65 233 325 449 1165 2245 3029 5825 5837 11225 15145 29185 75725 104617 145925 523085 1360021 2615425 6800105 34000525