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744256 = 2629401
BaseRepresentation
bin10110101101101000000
31101210221001
42311231000
5142304011
623541344
76216562
oct2655500
91353831
10744256
11469197
122ba854
132009b6
14155332
15ea7c1
hexb5b40

744256 has 28 divisors (see below), whose sum is σ = 1531620. Its totient is φ = 358400.

The previous prime is 744253. The next prime is 744283. The reversal of 744256 is 652447.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 129600 = 784^2 + 360^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1656 + ... + 2056.

2744256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765810).

744256 is an abundant number, since it is smaller than the sum of its proper divisors (787364).

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

744256 is a wasteful number, since it uses less digits than its factorization.

744256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 744256 is about 862.7027297975. The cubic root of 744256 is about 90.6234896300.

Subtracting from 744256 its reverse (652447), we obtain a square (91809 = 3032).

It can be divided in two parts, 744 and 256, that added together give a cube (1000 = 103).

The spelling of 744256 in words is "seven hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 401 464 802 928 1604 1856 3208 6416 11629 12832 23258 25664 46516 93032 186064 372128 744256