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287344680 = 23357342077
BaseRepresentation
bin10001001000001…
…000100000101000
3202000200121210120
4101020020200220
51042030012210
644302443240
710056250410
oct2110104050
9660617716
10287344680
11138220347
1280293520
13476b974c
142a23b640
151a35e270
hex11208828

287344680 has 64 divisors (see below), whose sum is σ = 985184640. Its totient is φ = 65678592.

The previous prime is 287344669. The next prime is 287344703. The reversal of 287344680 is 86443782.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170199 + ... + 171878.

It is an arithmetic number, because the mean of its divisors is an integer number (15393510).

Almost surely, 2287344680 is an apocalyptic number.

287344680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287344680 is an abundant number, since it is smaller than the sum of its proper divisors (697839960).

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

287344680 is a wasteful number, since it uses less digits than its factorization.

287344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342098 (or 342094 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 287344680 is about 16951.2442021227. The cubic root of 287344680 is about 659.8841853717.

The spelling of 287344680 in words is "two hundred eighty-seven million, three hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 342077 684154 1026231 1368308 1710385 2052462 2394539 2736616 3420770 4104924 4789078 5131155 6841540 7183617 8209848 9578156 10262310 11972695 13683080 14367234 19156312 20524620 23945390 28734468 35918085 41049240 47890780 57468936 71836170 95781560 143672340 287344680