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1323312 = 243191451
BaseRepresentation
bin101000011000100110000
32111020020120
411003010300
5314321222
644210240
714151024
oct5030460
92436216
101323312
11824251
12539980
13374433
14266384
151b215c
hex143130

1323312 has 40 divisors (see below), whose sum is σ = 3600960. Its totient is φ = 417600.

The previous prime is 1323307. The next prime is 1323319. The reversal of 1323312 is 2133231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1323291 and 1323300.

It is not an unprimeable number, because it can be changed into a prime (1323319) by changing a digit.

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, 187 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (90024).

21323312 is an apocalyptic number.

1323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800480).

1323312 is an abundant number, since it is smaller than the sum of its proper divisors (2277648).

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

1323312 is a wasteful number, since it uses less digits than its factorization.

1323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 1323312 is about 1150.3529893037. The cubic root of 1323312 is about 109.7878002776.

Adding to 1323312 its reverse (2133231), we get a palindrome (3456543).

The spelling of 1323312 in words is "one million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1451 2902 4353 5804 8706 11608 17412 23216 27569 34824 55138 69648 82707 110276 165414 220552 330828 441104 661656 1323312