Search a number
-
+
705344 = 26103107
BaseRepresentation
bin10101100001101000000
31022211112212
42230031000
5140032334
623041252
75665253
oct2541500
91284485
10705344
11441a32
122a0228
131b9083
1414509a
15ddece
hexac340

705344 has 28 divisors (see below), whose sum is σ = 1426464. Its totient is φ = 345984.

The previous prime is 705317. The next prime is 705389. The reversal of 705344 is 443507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6539 + ... + 6645.

2705344 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 705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713232).

705344 is an abundant number, since it is smaller than the sum of its proper divisors (721120).

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

705344 is a wasteful number, since it uses less digits than its factorization.

705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 705344 is about 839.8476052237. The cubic root of 705344 is about 89.0157780384.

The spelling of 705344 in words is "seven hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 107 206 214 412 428 824 856 1648 1712 3296 3424 6592 6848 11021 22042 44084 88168 176336 352672 705344