Search a number
-
+
3431030200 = 2352134330689
BaseRepresentation
bin1100110010000001…
…0101110110111000
322212010002101121121
43030200111312320
524011320431300
61324242515024
7151011163333
oct31440256670
98763071547
103431030200
1115007aa854
127b9065a74
13428a9b9b0
1424796761a
1515133681a
hexcc815db8

3431030200 has 96 divisors (see below), whose sum is σ = 8790843600. Its totient is φ = 1237340160.

The previous prime is 3431030191. The next prime is 3431030201. The reversal of 3431030200 is 20301343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431030201) 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, 96456 + ... + 127144.

Almost surely, 23431030200 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 3431030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395421800).

3431030200 is an abundant number, since it is smaller than the sum of its proper divisors (5359813400).

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

3431030200 is a wasteful number, since it uses less digits than its factorization.

3431030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30761 (or 30752 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3431030200 is about 58574.9963721723. The cubic root of 3431030200 is about 1508.2552542091.

Adding to 3431030200 its reverse (20301343), we get a palindrome (3451331543).

The spelling of 3431030200 in words is "three billion, four hundred thirty-one million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 43 50 52 65 86 100 104 130 172 200 215 260 325 344 430 520 559 650 860 1075 1118 1300 1720 2150 2236 2600 2795 4300 4472 5590 8600 11180 13975 22360 27950 30689 55900 61378 111800 122756 153445 245512 306890 398957 613780 767225 797914 1227560 1319627 1534450 1595828 1994785 2639254 3068900 3191656 3989570 5278508 6137800 6598135 7979140 9973925 10557016 13196270 15958280 17155151 19947850 26392540 32990675 34310302 39895700 52785080 65981350 68620604 79791400 85775755 131962700 137241208 171551510 263925400 343103020 428878775 686206040 857757550 1715515100 3431030200