Search a number
-
+
287042340 = 2235132291607
BaseRepresentation
bin10001000110111…
…110101100100100
3202000010021001210
4101012332230210
51041440323330
644252151420
710053551064
oct2106765444
9660107053
10287042340
11138034182
1280168570
1347611c50
142a19d3a4
151a2ee8b0
hex111beb24

287042340 has 96 divisors (see below), whose sum is σ = 869863680. Its totient is φ = 70304256.

The previous prime is 287042321. The next prime is 287042341. The reversal of 287042340 is 43240782.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 287042298 and 287042307.

It is not an unprimeable number, because it can be changed into a prime (287042341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177817 + ... + 179423.

It is an arithmetic number, because the mean of its divisors is an integer number (9061080).

Almost surely, 2287042340 is an apocalyptic number.

287042340 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 287042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434931840).

287042340 is an abundant number, since it is smaller than the sum of its proper divisors (582821340).

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

287042340 is a wasteful number, since it uses less digits than its factorization.

287042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 287042340 is about 16942.3239256012. The cubic root of 287042340 is about 659.6526638889.

The spelling of 287042340 in words is "two hundred eighty-seven million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 229 260 390 458 687 780 916 1145 1374 1607 2290 2748 2977 3214 3435 4580 4821 5954 6428 6870 8035 8931 9642 11908 13740 14885 16070 17862 19284 20891 24105 29770 32140 35724 41782 44655 48210 59540 62673 83564 89310 96420 104455 125346 178620 208910 250692 313365 368003 417820 626730 736006 1104009 1253460 1472012 1840015 2208018 3680030 4416036 4784039 5520045 7360060 9568078 11040090 14352117 19136156 22080180 23920195 28704234 47840390 57408468 71760585 95680780 143521170 287042340