Search a number
-
+
3034223340 = 2235713891831
BaseRepresentation
bin1011010011011010…
…1001001011101100
321211110102111221020
42310312221023230
522203230121330
61221025534140
7135122321121
oct26466511354
97743374836
103034223340
1113178159a5
127081a4350
13394807935
1420ad94748
1512b5a4210
hexb4da92ec

3034223340 has 96 divisors (see below), whose sum is σ = 8642350080. Its totient is φ = 795244800.

The previous prime is 3034223317. The next prime is 3034223347. The reversal of 3034223340 is 433224303.

It is a super-2 number, since 2×30342233402 = 18413022554001511200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3034223340.

It is not an unprimeable number, because it can be changed into a prime (3034223347) 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, 1656225 + ... + 1658055.

It is an arithmetic number, because the mean of its divisors is an integer number (90024480).

Almost surely, 23034223340 is an apocalyptic number.

3034223340 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 3034223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321175040).

3034223340 is an abundant number, since it is smaller than the sum of its proper divisors (5608126740).

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

3034223340 is a wasteful number, since it uses less digits than its factorization.

3034223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3034223340 is about 55083.7847283572. The cubic root of 3034223340 is about 1447.7131355611.

Adding to 3034223340 its reverse (433224303), we get a palindrome (3467447643).

The spelling of 3034223340 in words is "three billion, thirty-four million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 389 426 710 778 852 1065 1167 1420 1556 1831 1945 2130 2334 3662 3890 4260 4668 5493 5835 7324 7780 9155 10986 11670 18310 21972 23340 27465 27619 36620 54930 55238 82857 109860 110476 130001 138095 165714 260002 276190 331428 390003 414285 520004 552380 650005 712259 780006 828570 1300010 1424518 1560012 1657140 1950015 2136777 2600020 2849036 3561295 3900030 4273554 7122590 7800060 8547108 10683885 14245180 21367770 42735540 50570389 101140778 151711167 202281556 252851945 303422334 505703890 606844668 758555835 1011407780 1517111670 3034223340