Search a number
-
+
3629844 = 2232100829
BaseRepresentation
bin1101110110001100010100
320211102012200
431312030110
51412123334
6205444500
742565431
oct15661424
96742180
103629844
11205a179
121270730
139a124a
146a6b88
154ba799
hex376314

3629844 has 18 divisors (see below), whose sum is σ = 9175530. Its totient is φ = 1209936.

The previous prime is 3629831. The next prime is 3629863. The reversal of 3629844 is 4489263.

It is a happy number.

3629844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 1468944 = 1470^2 + 1212^2 .

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: 100829 = 3629844 / (3 + 6 + 2 + 9 + 8 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 3629799 and 3629808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50379 + ... + 50450.

Almost surely, 23629844 is an apocalyptic number.

It is an amenable number.

3629844 is an abundant number, since it is smaller than the sum of its proper divisors (5545686).

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

3629844 is a wasteful number, since it uses less digits than its factorization.

3629844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100839 (or 100834 counting only the distinct ones).

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

The square root of 3629844 is about 1905.2149485032. The cubic root of 3629844 is about 153.6842352092.

The spelling of 3629844 in words is "three million, six hundred twenty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 100829 201658 302487 403316 604974 907461 1209948 1814922 3629844