Search a number
-
+
3424331130 = 2351137283991
BaseRepresentation
bin1100110000011011…
…0010010101111010
322211122111001012220
43030012302111322
524003112044010
61323443144510
7150600222453
oct31406622572
98748431186
103424331130
1114a7a44730
127b6975136
1342759474c
14246b0212a
15150961970
hexcc1b257a

3424331130 has 128 divisors (see below), whose sum is σ = 9249693696. Its totient is φ = 804038400.

The previous prime is 3424331089. The next prime is 3424331147. The reversal of 3424331130 is 311334243.

3424331130 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3424331130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3454935 + ... + 3455925.

It is an arithmetic number, because the mean of its divisors is an integer number (72263232).

Almost surely, 23424331130 is an apocalyptic number.

3424331130 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 3424331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624846848).

3424331130 is an abundant number, since it is smaller than the sum of its proper divisors (5825362566).

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

3424331130 is a wasteful number, since it uses less digits than its factorization.

3424331130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3424331130 is about 58517.7847325067. The cubic root of 3424331130 is about 1507.2729942636.

Adding to 3424331130 its reverse (311334243), we get a palindrome (3735665373).

The spelling of 3424331130 in words is "three billion, four hundred twenty-four million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 283 330 370 407 555 566 814 849 991 1110 1221 1415 1698 1982 2035 2442 2830 2973 3113 4070 4245 4955 5946 6105 6226 8490 9339 9910 10471 10901 12210 14865 15565 18678 20942 21802 29730 31130 31413 32703 36667 46695 52355 54505 62826 65406 73334 93390 104710 109010 110001 115181 157065 163515 183335 220002 230362 280453 314130 327030 345543 366670 403337 550005 560906 575905 691086 806674 841359 1100010 1151810 1210011 1402265 1682718 1727715 2016685 2420022 2804530 3084983 3455430 4033370 4206795 6050055 6169966 8413590 9254949 10376761 12100110 15424915 18509898 20753522 30849830 31130283 46274745 51883805 62260566 92549490 103767610 114144371 155651415 228288742 311302830 342433113 570721855 684866226 1141443710 1712165565 3424331130