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247284 = 22326869
BaseRepresentation
bin111100010111110100
3110120012200
4330113310
530403114
65144500
72046642
oct742764
9416180
10247284
11159874
12bb130
138872b
1466192
154d409
hex3c5f4

247284 has 18 divisors (see below), whose sum is σ = 625170. Its totient is φ = 82416.

The previous prime is 247279. The next prime is 247301. The reversal of 247284 is 482742.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 108900 = 372^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2472842 = 122298753312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

247284 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3399 + ... + 3470.

2247284 is an apocalyptic number.

It is an amenable number.

247284 is an abundant number, since it is smaller than the sum of its proper divisors (377886).

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

247284 is a wasteful number, since it uses less digits than its factorization.

247284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6874 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 247284 is about 497.2765829998. The cubic root of 247284 is about 62.7670916337.

It can be divided in two parts, 2472 and 84, that added together give a triangular number (2556 = T71).

The spelling of 247284 in words is "two hundred forty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6869 13738 20607 27476 41214 61821 82428 123642 247284