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3629044432 = 241341772
BaseRepresentation
bin1101100001001110…
…1101001011010000
3100100220200120002001
43120103231023100
524413013410212
61400035003344
7155634240316
oct33023551320
910326616061
103629044432
1115a2556882
12853439554
1345ab0c190
14265d900b6
151638ec657
hexd84ed2d0

3629044432 has 30 divisors (see below), whose sum is σ = 7573954038. Its totient is φ = 1674542592.

The previous prime is 3629044373. The next prime is 3629044453. The reversal of 3629044432 is 2344409263.

It can be written as a sum of positive squares in 3 ways, for example, as 1518193296 + 2110851136 = 38964^2 + 45944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3629044391 and 3629044400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 866728 + ... + 870904.

Almost surely, 23629044432 is an apocalyptic number.

It is an amenable number.

3629044432 is an abundant number, since it is smaller than the sum of its proper divisors (3944909606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3629044432 is an frugal number, since it uses more digits than its factorization.

3629044432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The square root of 3629044432 is about 60241.5507104523. The cubic root of 3629044432 is about 1536.7295005752.

The spelling of 3629044432 in words is "three billion, six hundred twenty-nine million, forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 4177 8354 16708 33416 54301 66832 108602 217204 434408 868816 17447329 34894658 69789316 139578632 226815277 279157264 453630554 907261108 1814522216 3629044432