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3744225 = 3452432
BaseRepresentation
bin1110010010000111100001
321001020010000
432102013201
51424303400
6212130213
743553052
oct16220741
97036100
103744225
112128101
121306969
13a11324
146d6729
154de600
hex3921e1

3744225 has 45 divisors (see below), whose sum is σ = 7100643. Its totient is φ = 1950480.

The previous prime is 3744217. The next prime is 3744227. The reversal of 3744225 is 5224473.

The square root of 3744225 is 1935.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1347921 + 2396304 = 1161^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 3744225 - 23 = 3744217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3744227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 87054 + ... + 87096.

Almost surely, 23744225 is an apocalyptic number.

3744225 is the 1935-th square number.

3744225 is the 968-th centered octagonal number.

It is an amenable number.

3744225 is a deficient number, since it is larger than the sum of its proper divisors (3356418).

3744225 is an equidigital number, since it uses as much as digits as its factorization.

3744225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 51 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The cubic root of 3744225 is about 155.2818320221.

Adding to 3744225 its reverse (5224473), we get a palindrome (8968698).

It can be divided in two parts, 3744 and 225, that added together give a square (3969 = 632).

The spelling of 3744225 in words is "three million, seven hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 81 129 135 215 225 387 405 645 675 1075 1161 1849 1935 2025 3225 3483 5547 5805 9245 9675 16641 17415 27735 29025 46225 49923 83205 87075 138675 149769 249615 416025 748845 1248075 3744225