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4312984 = 2313113367
BaseRepresentation
bin10000011100111110011000
322010010022011
4100130332120
52101003414
6232235304
751442204
oct20347630
98103264
104312984
112486455
12153bb34
13b80180
14803b04
155a2dc4
hex41cf98

4312984 has 32 divisors (see below), whose sum is σ = 8809920. Its totient is φ = 1967616.

The previous prime is 4312969. The next prime is 4313027. The reversal of 4312984 is 4892134.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 11569 + ... + 11935.

It is an arithmetic number, because the mean of its divisors is an integer number (275310).

Almost surely, 24312984 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 4312984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404960).

4312984 is an abundant number, since it is smaller than the sum of its proper divisors (4496936).

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

4312984 is a wasteful number, since it uses less digits than its factorization.

4312984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 495 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 4312984 is about 2076.7724959658. The cubic root of 4312984 is about 162.7768409164.

The spelling of 4312984 in words is "four million, three hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 113 226 367 452 734 904 1468 1469 2936 2938 4771 5876 9542 11752 19084 38168 41471 82942 165884 331768 539123 1078246 2156492 4312984