Search a number
-
+
311364 = 2234312
BaseRepresentation
bin1001100000001000100
3120211010000
41030001010
534430424
610401300
72434524
oct1140104
9524100
10311364
111a2a29
12130230
13ab951
1481684
15623c9
hex4c044

311364 has 45 divisors (see below), whose sum is σ = 841071. Its totient is φ = 100440.

The previous prime is 311359. The next prime is 311371. The reversal of 311364 is 463113.

Adding to 311364 its reverse (463113), we get a palindrome (774477).

The square root of 311364 is 558.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an Ulam number.

Its product of digits (216) is a multiple of the sum of its prime divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311364.

It is an unprimeable number.

311364 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 (5) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10029 + ... + 10059.

2311364 is an apocalyptic number.

311364 is the 558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311364

311364 is an abundant number, since it is smaller than the sum of its proper divisors (529707).

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

311364 is a wasteful number, since it uses less digits than its factorization.

311364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The cubic root of 311364 is about 67.7781118162.

The spelling of 311364 in words is "three hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 961 1116 1674 1922 2511 2883 3348 3844 5022 5766 8649 10044 11532 17298 25947 34596 51894 77841 103788 155682 311364