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321012 = 223237241
BaseRepresentation
bin1001110010111110100
3121022100100
41032113310
540233022
610514100
72504616
oct1162764
9538310
10321012
111aa1aa
12135930
13b3163
1484db6
15651ac
hex4e5f4

321012 has 36 divisors (see below), whose sum is σ = 836836. Its totient is φ = 103680.

The previous prime is 321007. The next prime is 321017. The reversal of 321012 is 210123.

It is a happy number.

321012 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (321007) and next prime (321017).

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 54756 = 516^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 320985 and 321003.

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 321012.

It is not an unprimeable number, because it can be changed into a prime (321017) by changing a digit.

321012 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1212 + ... + 1452.

2321012 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 321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418418).

321012 is an abundant number, since it is smaller than the sum of its proper divisors (515824).

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

321012 is a wasteful number, since it uses less digits than its factorization.

321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 321012 is about 566.5792089373. The cubic root of 321012 is about 68.4710659765.

Adding to 321012 its reverse (210123), we get a palindrome (531135).

Subtracting from 321012 its reverse (210123), we obtain a square (110889 = 3332).

It can be divided in two parts, 3 and 21012, that multiplied together give a palindrome (63036).

The spelling of 321012 in words is "three hundred twenty-one thousand, twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 241 333 444 482 666 723 964 1332 1446 2169 2892 4338 8676 8917 17834 26751 35668 53502 80253 107004 160506 321012