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745344 = 2732647
BaseRepresentation
bin10110101111110000000
31101212102100
42311332000
5142322334
623550400
76223005
oct2657600
91355370
10745344
11469a96
122bb400
13201342
141558ac
15eac99
hexb5f80

745344 has 48 divisors (see below), whose sum is σ = 2148120. Its totient is φ = 248064.

The previous prime is 745343. The next prime is 745357. The reversal of 745344 is 443547.

745344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 829 + ... + 1475.

2745344 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 745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074060).

745344 is an abundant number, since it is smaller than the sum of its proper divisors (1402776).

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

745344 is a wasteful number, since it uses less digits than its factorization.

745344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 652 counting only the distinct ones).

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

The square root of 745344 is about 863.3330759330. Note that the first 3 decimals coincide. The cubic root of 745344 is about 90.6676278253.

It can be divided in two parts, 745 and 344, that added together give a square (1089 = 332).

The spelling of 745344 in words is "seven hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 647 1152 1294 1941 2588 3882 5176 5823 7764 10352 11646 15528 20704 23292 31056 41408 46584 62112 82816 93168 124224 186336 248448 372672 745344