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3013434424 = 23711132316361
BaseRepresentation
bin1011001110011101…
…0101110000111000
321210000022022220101
42303213111300320
522132414400144
61215004205144
7134450525050
oct26347256070
97700268811
103013434424
111307006980
127012397b4
133904093c0
14208302560
151298496d4
hexb39d5c38

3013434424 has 128 divisors (see below), whose sum is σ = 7916590080. Its totient is φ = 1036569600.

The previous prime is 3013434421. The next prime is 3013434439. The reversal of 3013434424 is 4244343103.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3013434392 and 3013434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013434421) 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, 176004 + ... + 192364.

It is an arithmetic number, because the mean of its divisors is an integer number (61848360).

Almost surely, 23013434424 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 3013434424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958295040).

3013434424 is an abundant number, since it is smaller than the sum of its proper divisors (4903155656).

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

3013434424 is a wasteful number, since it uses less digits than its factorization.

3013434424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16421 (or 16417 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3013434424 is about 54894.7577096393. The cubic root of 3013434424 is about 1444.3992304708.

Adding to 3013434424 its reverse (4244343103), we get a palindrome (7257777527).

The spelling of 3013434424 in words is "three billion, thirteen million, four hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 23 26 28 44 46 52 56 77 88 91 92 104 143 154 161 182 184 253 286 299 308 322 364 506 572 598 616 644 728 1001 1012 1144 1196 1288 1771 2002 2024 2093 2392 3289 3542 4004 4186 6578 7084 8008 8372 13156 14168 16361 16744 23023 26312 32722 46046 65444 92092 114527 130888 179971 184184 212693 229054 359942 376303 425386 458108 719884 752606 850772 916216 1259797 1439768 1488851 1505212 1701544 2339623 2519594 2634121 2977702 3010424 4139333 4679246 4891939 5039188 5268242 5955404 8278666 9358492 9783878 10078376 10536484 11910808 16377361 16557332 18716984 19567756 21072968 28975331 32754722 33114664 34243573 39135512 53811329 57950662 65509444 68487146 107622658 115901324 131018888 136974292 215245316 231802648 273948584 376679303 430490632 753358606 1506717212 3013434424