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331716 = 223711359
BaseRepresentation
bin1010000111111000100
3121212000210
41100333010
541103331
611035420
72551050
oct1207704
9555023
10331716
11207250
1213bb70
13b7ca8
1488c60
1568446
hex50fc4

331716 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 85920.

The previous prime is 331711. The next prime is 331739. The reversal of 331716 is 617133.

331716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3317162 = 220071009312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 331692 and 331701.

It is not an unprimeable number, because it can be changed into a prime (331711) by changing a digit.

331716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2331716 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 331716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

331716 is an abundant number, since it is smaller than the sum of its proper divisors (635964).

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

331716 is a wasteful number, since it uses less digits than its factorization.

331716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 382 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 331716 is about 575.9479143117. The cubic root of 331716 is about 69.2238059473.

Adding to 331716 its reverse (617133), we get a palindrome (948849).

It can be divided in two parts, 3317 and 16, that added together give a palindrome (3333).

The spelling of 331716 in words is "three hundred thirty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 359 462 718 924 1077 1436 2154 2513 3949 4308 5026 7539 7898 10052 11847 15078 15796 23694 27643 30156 47388 55286 82929 110572 165858 331716