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988286634 = 2321931397
BaseRepresentation
bin111010111010000…
…000111010101010
32112212122011101200
4322322000322222
54011000133014
6242022225030
733330204066
oct7272007252
92485564350
10988286634
11467953415
12236b85176
131299987ba
149537caa6
155bb6aa09
hex3ae80eaa

988286634 has 96 divisors (see below), whose sum is σ = 2353128960. Its totient is φ = 298909440.

The previous prime is 988286633. The next prime is 988286641. The reversal of 988286634 is 436682889.

988286634 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 not an unprimeable number, because it can be changed into a prime (988286633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10188474 + ... + 10188570.

It is an arithmetic number, because the mean of its divisors is an integer number (24511760).

Almost surely, 2988286634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988286634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176564480).

988286634 is an abundant number, since it is smaller than the sum of its proper divisors (1364842326).

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

988286634 is a wasteful number, since it uses less digits than its factorization.

988286634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 152 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 988286634 is about 31437.0264815233. The cubic root of 988286634 is about 996.0801999096.

The spelling of 988286634 in words is "nine hundred eighty-eight million, two hundred eighty-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 97 114 171 186 194 279 291 342 558 582 589 873 961 1178 1746 1767 1843 1922 2883 3007 3534 3686 5301 5529 5766 6014 8649 9021 10602 11058 16587 17298 18042 18259 27063 29791 33174 36518 54126 54777 57133 59582 89373 93217 109554 114266 164331 171399 178746 186434 268119 279651 328662 342798 514197 536238 559302 566029 838953 1028394 1132058 1677906 1698087 1771123 2889727 3396174 3542246 5094261 5313369 5779454 8669181 10188522 10626738 15940107 17338362 26007543 31880214 52015086 54904813 109809626 164714439 329428878 494143317 988286634