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1340243010 = 23457392239
BaseRepresentation
bin100111111100010…
…0111110001000010
310110101220101210000
41033320213301002
510221100234020
6340554020430
745132610011
oct11770476102
93411811700
101340243010
11628594457
12314a17716
13184888302
14c9dd8a78
157c9de090
hex4fe27c42

1340243010 has 80 divisors (see below), whose sum is σ = 3610252800. Its totient is φ = 356755104.

The previous prime is 1340242927. The next prime is 1340243011. The reversal of 1340243010 is 103420431.

1340243010 is a `hidden beast` number, since 1 + 340 + 24 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1340243011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 597471 + ... + 599709.

It is an arithmetic number, because the mean of its divisors is an integer number (45128160).

Almost surely, 21340243010 is an apocalyptic number.

1340243010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340243010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805126400).

1340243010 is an abundant number, since it is smaller than the sum of its proper divisors (2270009790).

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

1340243010 is a wasteful number, since it uses less digits than its factorization.

1340243010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1340243010 is about 36609.3295486274. The cubic root of 1340243010 is about 1102.5404122352.

Adding to 1340243010 its reverse (103420431), we get a palindrome (1443663441).

The spelling of 1340243010 in words is "one billion, three hundred forty million, two hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 739 810 1478 2217 2239 3695 4434 4478 6651 6717 7390 11085 11195 13302 13434 19953 20151 22170 22390 33255 33585 39906 40302 59859 60453 66510 67170 99765 100755 119718 120906 181359 199530 201510 299295 302265 362718 598590 604530 906795 1654621 1813590 3309242 4963863 8273105 9927726 14891589 16546210 24819315 29783178 44674767 49638630 74457945 89349534 134024301 148915890 223373835 268048602 446747670 670121505 1340243010