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684312 = 23328513
BaseRepresentation
bin10100111000100011000
31021202200220
42213010120
5133344222
622400040
75550036
oct2470430
91252626
10684312
11428152
12290020
131ac625
1413b556
15d7b5c
hexa7118

684312 has 16 divisors (see below), whose sum is σ = 1710840. Its totient is φ = 228096.

The previous prime is 684311. The next prime is 684329. The reversal of 684312 is 213486.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 28513 = 684312 / (6 + 8 + 4 + 3 + 1 + 2).

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

It is one of the 548 Lynch-Bell numbers.

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 684312.

It is not an unprimeable number, because it can be changed into a prime (684311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14233 + ... + 14280.

2684312 is an apocalyptic number.

It is an amenable number.

684312 is an abundant number, since it is smaller than the sum of its proper divisors (1026528).

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

684312 is a wasteful number, since it uses less digits than its factorization.

684312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28522 (or 28518 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 684312 is about 827.2315274456. The cubic root of 684312 is about 88.1220757543.

Adding to 684312 its reverse (213486), we get a palindrome (897798).

The spelling of 684312 in words is "six hundred eighty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 28513 57026 85539 114052 171078 228104 342156 684312