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319696 = 24132953
BaseRepresentation
bin1001110000011010000
3121020112121
41032003100
540212241
610504024
72501026
oct1160320
9536477
10319696
111a9213
12135014
13b2690
1484716
1564ad1
hex4e0d0

319696 has 40 divisors (see below), whose sum is σ = 703080. Its totient is φ = 139776.

The previous prime is 319691. The next prime is 319699. The reversal of 319696 is 696913.

It can be written as a sum of positive squares in 4 ways, for example, as 32400 + 287296 = 180^2 + 536^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 319696.

It is not an unprimeable number, because it can be changed into a prime (319691) by changing a digit.

319696 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 6006 + ... + 6058.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2319696 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 319696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540).

319696 is an abundant number, since it is smaller than the sum of its proper divisors (383384).

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

319696 is a wasteful number, since it uses less digits than its factorization.

319696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 8748, while the sum is 34.

The square root of 319696 is about 565.4166605257. The cubic root of 319696 is about 68.3773713092.

The spelling of 319696 in words is "three hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 52 53 58 104 106 116 208 212 232 377 424 464 689 754 848 1378 1508 1537 2756 3016 3074 5512 6032 6148 11024 12296 19981 24592 39962 79924 159848 319696