Search a number
-
+
4031430200 = 235276742979
BaseRepresentation
bin1111000001001010…
…1011111000111000
3101101221211212120122
43300102223320320
531224021231300
61504011312412
7201621406550
oct36022537070
911357755518
104031430200
1117897011a6
1294614b708
134c32a7675
142a35b6160
15188dd2c85
hexf04abe38

4031430200 has 96 divisors (see below), whose sum is σ = 10872220800. Its totient is φ = 1361543040.

The previous prime is 4031430181. The next prime is 4031430209. The reversal of 4031430200 is 20341304.

4031430200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031430209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72311 + ... + 115289.

It is an arithmetic number, because the mean of its divisors is an integer number (113252300).

Almost surely, 24031430200 is an apocalyptic number.

4031430200 is a gapful number since it is divisible by the number (40) 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 4031430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436110400).

4031430200 is an abundant number, since it is smaller than the sum of its proper divisors (6840790600).

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

4031430200 is a wasteful number, since it uses less digits than its factorization.

4031430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43069 (or 43060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4031430200 is about 63493.5445537576. The cubic root of 4031430200 is about 1591.5479038726.

Adding to 4031430200 its reverse (20341304), we get a palindrome (4051771504).

The spelling of 4031430200 in words is "four billion, thirty-one million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 134 140 175 200 268 280 335 350 469 536 670 700 938 1340 1400 1675 1876 2345 2680 3350 3752 4690 6700 9380 11725 13400 18760 23450 42979 46900 85958 93800 171916 214895 300853 343832 429790 601706 859580 1074475 1203412 1504265 1719160 2148950 2406824 2879593 3008530 4297900 5759186 6017060 7521325 8595800 11518372 12034120 14397965 15042650 20157151 23036744 28795930 30085300 40314302 57591860 60170600 71989825 80628604 100785755 115183720 143979650 161257208 201571510 287959300 403143020 503928775 575918600 806286040 1007857550 2015715100 4031430200