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3628836 = 2232100801
BaseRepresentation
bin1101110101111100100100
320211100211100
431311330210
51412110321
6205440100
742562461
oct15657444
96740740
103628836
112059442
121270030
139a0953
146a6668
154ba326
hex375f24

3628836 has 18 divisors (see below), whose sum is σ = 9172982. Its totient is φ = 1209600.

The previous prime is 3628819. The next prime is 3628841. The reversal of 3628836 is 6388263.

It can be written as a sum of positive squares in only one way, i.e., 1822500 + 1806336 = 1350^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 100801 = 3628836 / (3 + 6 + 2 + 8 + 8 + 3 + 6).

It is a d-powerful number, because it can be written as 310 + 68 + 27 + 83 + 85 + 311 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3628836.

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 5 ways as a sum of consecutive naturals, for example, 50365 + ... + 50436.

Almost surely, 23628836 is an apocalyptic number.

3628836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3628836 is an abundant number, since it is smaller than the sum of its proper divisors (5544146).

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

3628836 is a wasteful number, since it uses less digits than its factorization.

3628836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100811 (or 100806 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3628836 is about 1904.9503930549. The cubic root of 3628836 is about 153.6700079632.

The spelling of 3628836 in words is "three million, six hundred twenty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 100801 201602 302403 403204 604806 907209 1209612 1814418 3628836