Search a number
-
+
3053410000 = 24542910529
BaseRepresentation
bin1011010111111111…
…0101011011010000
321212210112022002021
42311333311123100
522223133110000
61222553101224
7135444361654
oct26577653320
97783468067
103053410000
111327630143
127126b7814
13398794aa4
1420d74aa64
1512d0e411a
hexb5ff56d0

3053410000 has 100 divisors (see below), whose sum is σ = 7648254900. Its totient is φ = 1179136000.

The previous prime is 3053409979. The next prime is 3053410013. The reversal of 3053410000 is 143503.

It can be written as a sum of positive squares in 10 ways, for example, as 1844874304 + 1208535696 = 42952^2 + 34764^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 284736 + ... + 295264.

It is an arithmetic number, because the mean of its divisors is an integer number (76482549).

Almost surely, 23053410000 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 3053410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824127450).

3053410000 is an abundant number, since it is smaller than the sum of its proper divisors (4594844900).

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

3053410000 is a wasteful number, since it uses less digits than its factorization.

3053410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10586 (or 10565 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3053410000 is about 55257.6691509875. The cubic root of 3053410000 is about 1450.7582241351.

Adding to 3053410000 its reverse (143503), we get a palindrome (3053553503).

The spelling of 3053410000 in words is "three billion, fifty-three million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 10529 11600 14500 18125 21058 29000 36250 42116 52645 58000 72500 84232 105290 145000 168464 210580 263225 290000 305341 421160 526450 610682 842320 1052900 1221364 1316125 1526705 2105800 2442728 2632250 3053410 4211600 4885456 5264500 6106820 6580625 7633525 10529000 12213640 13161250 15267050 21058000 24427280 26322500 30534100 38167625 52645000 61068200 76335250 105290000 122136400 152670500 190838125 305341000 381676250 610682000 763352500 1526705000 3053410000