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243310340 = 225713433109
BaseRepresentation
bin11101000000010…
…01111100000100
3121221211110001002
432200021330010
5444241412330
640050552432
76013050410
oct1640117404
9557743032
10243310340
11115384729
1269598718
133b53c820
1424457d40
1516561e45
hexe809f04

243310340 has 96 divisors (see below), whose sum is σ = 643695360. Its totient is φ = 75188736.

The previous prime is 243310337. The next prime is 243310343. The reversal of 243310340 is 43013342.

It is an interprime number because it is at equal distance from previous prime (243310337) and next prime (243310343).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (243310343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76706 + ... + 79814.

It is an arithmetic number, because the mean of its divisors is an integer number (6705160).

Almost surely, 2243310340 is an apocalyptic number.

243310340 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 243310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321847680).

243310340 is an abundant number, since it is smaller than the sum of its proper divisors (400385020).

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

243310340 is a wasteful number, since it uses less digits than its factorization.

243310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 243310340 is about 15598.4082521262. The cubic root of 243310340 is about 624.2906854344.

Adding to 243310340 its reverse (43013342), we get a palindrome (286323682).

The spelling of 243310340 in words is "two hundred forty-three million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 52 65 70 86 91 130 140 172 182 215 260 301 364 430 455 559 602 860 910 1118 1204 1505 1820 2236 2795 3010 3109 3913 5590 6020 6218 7826 11180 12436 15545 15652 19565 21763 31090 39130 40417 43526 62180 78260 80834 87052 108815 133687 161668 202085 217630 267374 282919 404170 435260 534748 565838 668435 808340 935809 1131676 1336870 1414595 1737931 1871618 2673740 2829190 3475862 3743236 4679045 5658380 6951724 8689655 9358090 12165517 17379310 18716180 24331034 34758620 48662068 60827585 121655170 243310340