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3034304130 = 2351113739689
BaseRepresentation
bin1011010011011011…
…1100111010000010
321211110120121202110
42310312330322002
522203240213010
61221031400150
7135123105504
oct26466747202
97743517673
103034304130
111317870670
12708223056
13394835640
1420adb5d74
1512b5bd120
hexb4dbce82

3034304130 has 128 divisors (see below), whose sum is σ = 8673557760. Its totient is φ = 669634560.

The previous prime is 3034304083. The next prime is 3034304131. The reversal of 3034304130 is 314034303.

It is a junction number, because it is equal to n+sod(n) for n = 3034304097 and 3034304106.

It is not an unprimeable number, because it can be changed into a prime (3034304131) 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 63 ways as a sum of consecutive naturals, for example, 308326 + ... + 318014.

It is an arithmetic number, because the mean of its divisors is an integer number (67762170).

Almost surely, 23034304130 is an apocalyptic number.

3034304130 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 3034304130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336778880).

3034304130 is an abundant number, since it is smaller than the sum of its proper divisors (5639253630).

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

3034304130 is a wasteful number, since it uses less digits than its factorization.

3034304130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3034304130 is about 55084.5180608853. The cubic root of 3034304130 is about 1447.7259845061.

Adding to 3034304130 its reverse (314034303), we get a palindrome (3348338433).

The spelling of 3034304130 in words is "three billion, thirty-four million, three hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 73 78 110 130 143 146 165 195 219 286 330 365 390 429 438 715 730 803 858 949 1095 1430 1606 1898 2145 2190 2409 2847 4015 4290 4745 4818 5694 8030 9490 9689 10439 12045 14235 19378 20878 24090 28470 29067 31317 48445 52195 58134 62634 96890 104390 106579 125957 145335 156585 213158 251914 290670 313170 319737 377871 532895 629785 639474 707297 755742 1065790 1259570 1385527 1414594 1598685 1889355 2121891 2771054 3197370 3536485 3778710 4156581 4243782 6927635 7072970 7780267 8313162 9194861 10609455 13855270 15560534 18389722 20782905 21218910 23340801 27584583 38901335 41565810 45974305 46681602 55169166 77802670 91948610 101143471 116704005 137922915 202286942 233408010 275845830 303430413 505717355 606860826 1011434710 1517152065 3034304130