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287055340 = 2251113293461
BaseRepresentation
bin10001000111000…
…001110111101100
3202000010220220021
4101013001313230
51041441232330
644252331524
710053634015
oct2107016754
9660126807
10287055340
11138042a20
1280173ba4
1347617b40
142a1a400c
151a30367a
hex111c1dec

287055340 has 96 divisors (see below), whose sum is σ = 732836160. Its totient is φ = 93004800.

The previous prime is 287055331. The next prime is 287055359. The reversal of 287055340 is 43550782.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 287055296 and 287055305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81210 + ... + 84670.

It is an arithmetic number, because the mean of its divisors is an integer number (7633710).

Almost surely, 2287055340 is an apocalyptic number.

287055340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287055340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366418080).

287055340 is an abundant number, since it is smaller than the sum of its proper divisors (445780820).

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

287055340 is a wasteful number, since it uses less digits than its factorization.

287055340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 287055340 is about 16942.7075758274. The cubic root of 287055340 is about 659.6626221819.

The spelling of 287055340 in words is "two hundred eighty-seven million, fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 110 116 130 143 145 220 260 286 290 319 377 572 580 638 715 754 1276 1430 1508 1595 1885 2860 3190 3461 3770 4147 6380 6922 7540 8294 13844 16588 17305 20735 34610 38071 41470 44993 69220 76142 82940 89986 100369 152284 179972 190355 200738 224965 380710 401476 449930 494923 501845 761420 899860 989846 1003690 1104059 1304797 1979692 2007380 2208118 2474615 2609594 4416236 4949230 5219188 5520295 6523985 9898460 11040590 13047970 14352767 22081180 26095940 28705534 57411068 71763835 143527670 287055340