Search a number
-
+
3041410000 = 2454319811
BaseRepresentation
bin1011010101001000…
…0011101111010000
321211221221122011211
42311102003233100
522212100110000
61221443545504
7135240362356
oct26522035720
97757848154
103041410000
111320884392
1270a68b294
13396152ab5
1420bd057d6
1512c0237ba
hexb5483bd0

3041410000 has 100 divisors (see below), whose sum is σ = 7601866624. Its totient is φ = 1177200000.

The previous prime is 3041409989. The next prime is 3041410013. The reversal of 3041410000 is 141403.

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

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, 305095 + ... + 314905.

Almost surely, 23041410000 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 3041410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800933312).

3041410000 is an abundant number, since it is smaller than the sum of its proper divisors (4560456624).

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

3041410000 is an equidigital number, since it uses as much as digits as its factorization.

3041410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870 (or 9849 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3041410000 is about 55148.9800449655. The cubic root of 3041410000 is about 1448.8552200925.

Adding to 3041410000 its reverse (141403), we get a palindrome (3041551403).

The spelling of 3041410000 in words is "three billion, forty-one million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 9811 10000 12400 15500 19375 19622 31000 38750 39244 49055 62000 77500 78488 98110 155000 156976 196220 245275 304141 310000 392440 490550 608282 784880 981100 1216564 1226375 1520705 1962200 2433128 2452750 3041410 3924400 4866256 4905500 6082820 6131875 7603525 9811000 12165640 12263750 15207050 19622000 24331280 24527500 30414100 38017625 49055000 60828200 76035250 98110000 121656400 152070500 190088125 304141000 380176250 608282000 760352500 1520705000 3041410000