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3429585 = 32576213
BaseRepresentation
bin1101000101010011010001
320110020111200
431011103101
51334221320
6201301413
741102535
oct15052321
96406450
103429585
111a32775
121194869
13931053
14653bc5
1547b290
hex3454d1

3429585 has 12 divisors (see below), whose sum is σ = 5944692. Its totient is φ = 1829088.

The previous prime is 3429583. The next prime is 3429589. The reversal of 3429585 is 5859243.

It can be written as a sum of positive squares in 2 ways, for example, as 1718721 + 1710864 = 1311^2 + 1308^2 .

It is not a de Polignac number, because 3429585 - 21 = 3429583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3429581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38062 + ... + 38151.

It is an arithmetic number, because the mean of its divisors is an integer number (495391).

Almost surely, 23429585 is an apocalyptic number.

It is an amenable number.

3429585 is a deficient number, since it is larger than the sum of its proper divisors (2515107).

3429585 is a wasteful number, since it uses less digits than its factorization.

3429585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76224 (or 76221 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 3429585 is about 1851.9138748873. The cubic root of 3429585 is about 150.8043458093.

The spelling of 3429585 in words is "three million, four hundred twenty-nine thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 45 76213 228639 381065 685917 1143195 3429585