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312864 = 2533259
BaseRepresentation
bin1001100011000100000
3120220011120
41030120200
540002424
610412240
72442066
oct1143040
9526146
10312864
111a4072
12131080
13ac536
1482036
1562a79
hex4c620

312864 has 24 divisors (see below), whose sum is σ = 821520. Its totient is φ = 104256.

The previous prime is 312863. The next prime is 312887. The reversal of 312864 is 468213.

It can be divided in two parts, 312 and 864, that added together give a triangular number (1176 = T48).

It is a happy number.

312864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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).

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

It is a d-powerful number, because it can be written as 311 + 1 + 83 + 217 + 62 + 46 .

It is one of the 548 Lynch-Bell numbers.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312864.

It is not an unprimeable number, because it can be changed into a prime (312863) 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, 1534 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (34230).

2312864 is an apocalyptic number.

It is an amenable number.

312864 is an abundant number, since it is smaller than the sum of its proper divisors (508656).

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

312864 is a wasteful number, since it uses less digits than its factorization.

312864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3264 counting only the distinct ones).

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

The square root of 312864 is about 559.3424711212. The cubic root of 312864 is about 67.8867781385.

The spelling of 312864 in words is "three hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3259 6518 9777 13036 19554 26072 39108 52144 78216 104288 156432 312864