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744328 = 231317421
BaseRepresentation
bin10110101101110001000
31101211000201
42311232020
5142304303
623541544
76220024
oct2655610
91354021
10744328
11469252
122ba8b4
13200a40
14155384
15ea81d
hexb5b88

744328 has 32 divisors (see below), whose sum is σ = 1595160. Its totient is φ = 322560.

The previous prime is 744313. The next prime is 744353. The reversal of 744328 is 823447.

744328 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 4 ways, for example, as 362404 + 381924 = 602^2 + 618^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 744296 and 744305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 1978.

2744328 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 744328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797580).

744328 is an abundant number, since it is smaller than the sum of its proper divisors (850832).

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

744328 is a wasteful number, since it uses less digits than its factorization.

744328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 744328 is about 862.7444581103. The cubic root of 744328 is about 90.6264118686.

The spelling of 744328 in words is "seven hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 421 442 842 884 1684 1768 3368 5473 7157 10946 14314 21892 28628 43784 57256 93041 186082 372164 744328