Search a number
-
+
2030344020 = 2232525144939
BaseRepresentation
bin111100100000100…
…1001011101010100
312020111110011101200
41321001021131110
513124232002040
6533245152500
7101212432215
oct17101113524
95214404350
102030344020
11952092571
12487b5b730
1326483cac3
1415391740c
15bd3a8630
hex79049754

2030344020 has 72 divisors (see below), whose sum is σ = 6183384480. Its totient is φ = 539256000.

The previous prime is 2030344013. The next prime is 2030344097. The reversal of 2030344020 is 204430302.

2030344020 is a `hidden beast` number, since 203 + 0 + 3 + 440 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2030343984 and 2030344002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22711 + ... + 67649.

It is an arithmetic number, because the mean of its divisors is an integer number (85880340).

Almost surely, 22030344020 is an apocalyptic number.

2030344020 is a gapful number since it is divisible by the number (20) 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 2030344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091692240).

2030344020 is an abundant number, since it is smaller than the sum of its proper divisors (4153040460).

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

2030344020 is a wasteful number, since it uses less digits than its factorization.

2030344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45205 (or 45200 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2030344020 is about 45059.3388766413. The cubic root of 2030344020 is about 1266.2609391530.

Adding to 2030344020 its reverse (204430302), we get a palindrome (2234774322).

The spelling of 2030344020 in words is "two billion, thirty million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 7530 9036 11295 15060 22590 44939 45180 89878 134817 179756 224695 269634 404451 449390 539268 674085 808902 898780 1348170 1617804 2022255 2696340 4044510 8089020 11279689 22559378 33839067 45118756 56398445 67678134 101517201 112796890 135356268 169195335 203034402 225593780 338390670 406068804 507586005 676781340 1015172010 2030344020