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30304042224 = 24343109134699
BaseRepresentation
bin11100001110010000…
…101111110011110000
32220012221101211220020
4130032100233303300
5444030313322344
621531012443440
72121651052221
oct341620576360
986187354806
1030304042224
11119409294a5
125a58919580
132b1c379a41
141676991248
15bc5685719
hex70e42fcf0

30304042224 has 80 divisors (see below), whose sum is σ = 80841552000. Its totient is φ = 9775842048.

The previous prime is 30304042201. The next prime is 30304042247. The reversal of 30304042224 is 42224040303.

It is an interprime number because it is at equal distance from previous prime (30304042201) and next prime (30304042247).

It is a super-2 number, since 2×303040422242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30304042194 and 30304042203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157627 + ... + 292325.

It is an arithmetic number, because the mean of its divisors is an integer number (1010519400).

Almost surely, 230304042224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30304042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40420776000).

30304042224 is an abundant number, since it is smaller than the sum of its proper divisors (50537509776).

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

30304042224 is a wasteful number, since it uses less digits than its factorization.

30304042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134862 (or 134856 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 30304042224 its reverse (42224040303), we get a palindrome (72528082527).

The spelling of 30304042224 in words is "thirty billion, three hundred four million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 109 129 172 218 258 327 344 436 516 654 688 872 1032 1308 1744 2064 2616 4687 5232 9374 14061 18748 28122 37496 56244 74992 112488 134699 224976 269398 404097 538796 808194 1077592 1616388 2155184 3232776 5792057 6465552 11584114 14682191 17376171 23168228 29364382 34752342 44046573 46336456 58728764 69504684 88093146 92672912 117457528 139009368 176186292 234915056 278018736 352372584 631334213 704745168 1262668426 1894002639 2525336852 3788005278 5050673704 7576010556 10101347408 15152021112 30304042224