Search a number
-
+
3540089340 = 2233536717863
BaseRepresentation
bin1101001100000001…
…0111100111111100
3100010201022011122000
43103000113213330
524222230324330
61343140222300
7153504156114
oct32300274774
910121264560
103540089340
111557319577
1282969a990
13445564a28
14258236044
1515abca560
hexd30179fc

3540089340 has 96 divisors (see below), whose sum is σ = 11044239360. Its totient is φ = 941398848.

The previous prime is 3540089327. The next prime is 3540089341. The reversal of 3540089340 is 439800453.

3540089340 is a `hidden beast` number, since 3 + 540 + 0 + 89 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3540089295 and 3540089304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540089341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189249 + ... + 207111.

It is an arithmetic number, because the mean of its divisors is an integer number (115044160).

Almost surely, 23540089340 is an apocalyptic number.

3540089340 is a gapful number since it is divisible by the number (30) 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 3540089340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522119680).

3540089340 is an abundant number, since it is smaller than the sum of its proper divisors (7504150020).

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

3540089340 is a wasteful number, since it uses less digits than its factorization.

3540089340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18248 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3540089340 is about 59498.6499006490. The cubic root of 3540089340 is about 1524.0693904793.

Adding to 3540089340 its reverse (439800453), we get a palindrome (3979889793).

The spelling of 3540089340 in words is "three billion, five hundred forty million, eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 367 540 734 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 9909 11010 13212 16515 17863 19818 22020 33030 35726 39636 49545 53589 66060 71452 89315 99090 107178 160767 178630 198180 214356 267945 321534 357260 482301 535890 643068 803835 964602 1071780 1607670 1929204 2411505 3215340 4823010 6555721 9646020 13111442 19667163 26222884 32778605 39334326 59001489 65557210 78668652 98335815 118002978 131114420 177004467 196671630 236005956 295007445 354008934 393343260 590014890 708017868 885022335 1180029780 1770044670 3540089340