Search a number
-
+
3340224030 = 23511136711621
BaseRepresentation
bin1100011100010111…
…1100011000011110
322121210012221222010
43013011330120132
523320044132110
61311240332050
7145526302323
oct30705743036
98553187863
103340224030
111464518830
12792774026
13413026b30
1423988ab4a
1514839b020
hexc717c61e

3340224030 has 128 divisors (see below), whose sum is σ = 9559420416. Its totient is φ = 736243200.

The previous prime is 3340224007. The next prime is 3340224101. The reversal of 3340224030 is 304220433.

It is a super-2 number, since 2×33402240302 = 22314193141178881800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3340223988 and 3340224006.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 281620 + ... + 293240.

It is an arithmetic number, because the mean of its divisors is an integer number (74682972).

Almost surely, 23340224030 is an apocalyptic number.

3340224030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340224030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779710208).

3340224030 is an abundant number, since it is smaller than the sum of its proper divisors (6219196386).

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

3340224030 is a wasteful number, since it uses less digits than its factorization.

3340224030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3340224030 is about 57794.6712941600. The cubic root of 3340224030 is about 1494.8302070751.

Adding to 3340224030 its reverse (304220433), we get a palindrome (3644444463).

The spelling of 3340224030 in words is "three billion, three hundred forty million, two hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 67 78 110 130 134 143 165 195 201 286 330 335 390 402 429 670 715 737 858 871 1005 1430 1474 1742 2010 2145 2211 2613 3685 4290 4355 4422 5226 7370 8710 9581 11055 11621 13065 19162 22110 23242 26130 28743 34863 47905 57486 58105 69726 95810 116210 127831 143715 151073 174315 255662 287430 302146 348630 383493 453219 639155 755365 766986 778607 906438 1278310 1510730 1557214 1661803 1917465 2266095 2335821 3323606 3834930 3893035 4532190 4671642 4985409 7786070 8309015 8564677 9970818 10121891 11679105 16618030 17129354 20243782 23358210 24927045 25694031 30365673 42823385 49854090 50609455 51388062 60731346 85646770 101218910 111340801 128470155 151828365 222681602 256940310 303656730 334022403 556704005 668044806 1113408010 1670112015 3340224030