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3201696 = 253211117
BaseRepresentation
bin1100001101101010100000
320000122220100
430031222200
51304423241
6152342400
736133251
oct14155240
96018810
103201696
111897533
1210a4a00
138813c4
145d4b28
154339b6
hex30daa0

3201696 has 36 divisors (see below), whose sum is σ = 9105642. Its totient is φ = 1067136.

The previous prime is 3201689. The next prime is 3201697. The reversal of 3201696 is 6961023.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 90000 = 1764^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3201697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5271 + ... + 5846.

Almost surely, 23201696 is an apocalyptic number.

3201696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3201696 is an abundant number, since it is smaller than the sum of its proper divisors (5903946).

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

3201696 is a wasteful number, since it uses less digits than its factorization.

3201696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3201696 is about 1789.3283656166. The cubic root of 3201696 is about 147.3872891703.

It can be divided in two parts, 320 and 1696, that added together give a triangular number (2016 = T63).

The spelling of 3201696 in words is "three million, two hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11117 22234 33351 44468 66702 88936 100053 133404 177872 200106 266808 355744 400212 533616 800424 1067232 1600848 3201696