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BaseRepresentation
bin1011101000
31000120
423220
510434
63240
72112
oct1350
91016
10744
11617
12520
13453
143b2
15349
hex2e8

• 744 can be written using four 4's: 744 has 16 divisors (see below), whose sum is σ = 1920. Its totient is φ = 240.

The previous prime is 743. The next prime is 751. The reversal of 744 is 447.

744 is nontrivially palindromic in base 7.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 10 and base 12.

It is not an unprimeable number, because it can be changed into a prime (743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 39.

It is an arithmetic number, because the mean of its divisors is an integer number (120).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960).

744 is an abundant number, since it is smaller than the sum of its proper divisors (1176).

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

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

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

The sum of its prime factors is 40 (or 36 counting only the distinct ones).

The product of its digits is 112, while the sum is 15.

The square root of 744 is about 27.2763633940. The cubic root of 744 is about 9.0613097922.

Subtracting from 744 its sum of digits (15), we obtain a 6-th power (729 = 36).

It can be divided in two parts, 74 and 4, that added together give a triangular number (78 = T12).

The spelling of 744 in words is "seven hundred forty-four", and thus it is an aban number and an iban number.

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744