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675312 = 243111279
BaseRepresentation
bin10100100110111110000
31021022100120
42210313300
5133102222
622250240
75511561
oct2446760
91238316
10675312
11421410
12286980
131a84c1
14138168
15d515c
hexa4df0

675312 has 40 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 204480.

The previous prime is 675299. The next prime is 675313. The reversal of 675312 is 213576.

675312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (47616).

2675312 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 675312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

675312 is an abundant number, since it is smaller than the sum of its proper divisors (1229328).

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

675312 is a wasteful number, since it uses less digits than its factorization.

675312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1295 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 675312 is about 821.7736914747. The cubic root of 675312 is about 87.7340455243.

Adding to 675312 its reverse (213576), we get a palindrome (888888).

The spelling of 675312 in words is "six hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1279 2558 3837 5116 7674 10232 14069 15348 20464 28138 30696 42207 56276 61392 84414 112552 168828 225104 337656 675312