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3438416125 = 5327507329
BaseRepresentation
bin1100110011110010…
…0001000011111101
322212121222122012101
43030330201003331
524020213304000
61325105105101
7151131024544
oct31474410375
98777878171
103438416125
111504994a21
127bb628191
1342a486771
1424892b15b
15151ce4e6a
hexccf210fd

3438416125 has 8 divisors (see below), whose sum is σ = 4291143480. Its totient is φ = 2750732800.

The previous prime is 3438416089. The next prime is 3438416129. The reversal of 3438416125 is 5216148343.

It can be written as a sum of positive squares in 4 ways, for example, as 64432729 + 3373983396 = 8027^2 + 58086^2 .

It is not a de Polignac number, because 3438416125 - 221 = 3436318973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438416129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13753540 + ... + 13753789.

It is an arithmetic number, because the mean of its divisors is an integer number (536392935).

Almost surely, 23438416125 is an apocalyptic number.

It is an amenable number.

3438416125 is a deficient number, since it is larger than the sum of its proper divisors (852727355).

3438416125 is an equidigital number, since it uses as much as digits as its factorization.

3438416125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27507344 (or 27507334 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 3438416125 is about 58638.0092175715. The cubic root of 3438416125 is about 1509.3367443692.

The spelling of 3438416125 in words is "three billion, four hundred thirty-eight million, four hundred sixteen thousand, one hundred twenty-five".

Divisors: 1 5 25 125 27507329 137536645 687683225 3438416125