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8293284 = 2232230369
BaseRepresentation
bin11111101000101110100100
3120121100020200
4133220232210
54110341114
6453430500
7130330446
oct37505644
916540220
108293284
11475495a
12293b430
131944a8c
14115c496
15adc409
hex7e8ba4

8293284 has 18 divisors (see below), whose sum is σ = 20963670. Its totient is φ = 2764416.

The previous prime is 8293283. The next prime is 8293289. The reversal of 8293284 is 4823928.

It can be written as a sum of positive squares in only one way, i.e., 7617600 + 675684 = 2760^2 + 822^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 230369 = 8293284 / (8 + 2 + 9 + 3 + 2 + 8 + 4).

It is not an unprimeable number, because it can be changed into a prime (8293283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115149 + ... + 115220.

Almost surely, 28293284 is an apocalyptic number.

It is an amenable number.

8293284 is an abundant number, since it is smaller than the sum of its proper divisors (12670386).

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

8293284 is a wasteful number, since it uses less digits than its factorization.

8293284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230379 (or 230374 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8293284 is about 2879.8062434824. The cubic root of 8293284 is about 202.4147606497.

The spelling of 8293284 in words is "eight million, two hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 230369 460738 691107 921476 1382214 2073321 2764428 4146642 8293284