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3200000032 = 25175882353
BaseRepresentation
bin1011111010111100…
…0010000000100000
322021000100211210201
42332233002000200
523023200000112
61245311034544
7142204360105
oct27657020040
98230324721
103200000032
1113a2353429
1275380ba54
133bcc6b858
14224dc8aac
1513aded257
hexbebc2020

3200000032 has 24 divisors (see below), whose sum is σ = 6670589436. Its totient is φ = 1505882112.

The previous prime is 3199999997. The next prime is 3200000087. The reversal of 3200000032 is 2300000023.

It can be written as a sum of positive squares in 2 ways, for example, as 2928541456 + 271458576 = 54116^2 + 16476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3199999964 and 3200000018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2940633 + ... + 2941720.

Almost surely, 23200000032 is an apocalyptic number.

3200000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3200000032 is an abundant number, since it is smaller than the sum of its proper divisors (3470589404).

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

3200000032 is a wasteful number, since it uses less digits than its factorization.

3200000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882380 (or 5882372 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3200000032 is about 56568.5427777665. The cubic root of 3200000032 is about 1473.6126043682.

Adding to 3200000032 its reverse (2300000023), we get a palindrome (5500000055).

Subtracting from 3200000032 its reverse (2300000023), we obtain a palindrome (900000009).

It can be divided in two parts, 32000000 and 32, that multiplied together give a square (1024000000 = 320002).

The spelling of 3200000032 in words is "three billion, two hundred million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 5882353 11764706 23529412 47058824 94117648 100000001 188235296 200000002 400000004 800000008 1600000016 3200000032