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3429825 = 352747139
BaseRepresentation
bin1101000101010111000001
320110020211120
431011113001
51334223300
6201302453
741103330
oct15052701
96406746
103429825
111a32973
121194a29
139311a9
14653d17
1547b3a0
hex3455c1

3429825 has 48 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 1523520.

The previous prime is 3429821. The next prime is 3429857. The reversal of 3429825 is 5289243.

It is a happy number.

It is not a de Polignac number, because 3429825 - 22 = 3429821 is a prime.

3429825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3429821) 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, 24606 + ... + 24744.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

Almost surely, 23429825 is an apocalyptic number.

3429825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3429825 is a deficient number, since it is larger than the sum of its proper divisors (3236415).

3429825 is a wasteful number, since it uses less digits than its factorization.

3429825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 3429825 is about 1851.9786715834. The cubic root of 3429825 is about 150.8078634554.

The spelling of 3429825 in words is "three million, four hundred twenty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 47 75 105 139 141 175 235 329 417 525 695 705 973 987 1175 1645 2085 2919 3475 3525 4865 4935 6533 8225 10425 14595 19599 24325 24675 32665 45731 72975 97995 137193 163325 228655 489975 685965 1143275 3429825