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2984664 = 233235407
BaseRepresentation
bin1011011000101011011000
312121122012010
423120223120
51231002124
6143545520
734240434
oct13305330
95548163
102984664
111759471
12bbb2a0
13806697
145799c4
153de529
hex2d8ad8

2984664 has 32 divisors (see below), whose sum is σ = 7787520. Its totient is φ = 951456.

The previous prime is 2984629. The next prime is 2984671. The reversal of 2984664 is 4664892.

2984664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2152 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (243360).

22984664 is an apocalyptic number.

2984664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2984664 is an abundant number, since it is smaller than the sum of its proper divisors (4802856).

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

2984664 is a wasteful number, since it uses less digits than its factorization.

2984664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5435 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 2984664 is about 1727.6180133351. The cubic root of 2984664 is about 143.9787777367.

The spelling of 2984664 in words is "two million, nine hundred eighty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 5407 10814 16221 21628 32442 43256 64884 124361 129768 248722 373083 497444 746166 994888 1492332 2984664