Search a number
-
+
3020441000 = 2353171271399
BaseRepresentation
bin1011010000001000…
…0100010110101000
321210111111022010012
42310002010112220
522141213103000
61215414311052
7134564216303
oct26402042650
97714438105
103020441000
11130aa62035
12703658488
133919c05c5
14209207b3a
1512a280735
hexb40845a8

3020441000 has 128 divisors (see below), whose sum is σ = 7547904000. Its totient is φ = 1127347200.

The previous prime is 3020440993. The next prime is 3020441093. The reversal of 3020441000 is 1440203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2158301 + ... + 2159699.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 23020441000 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 3020441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

3020441000 is an abundant number, since it is smaller than the sum of its proper divisors (4527463000).

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

3020441000 is a wasteful number, since it uses less digits than its factorization.

3020441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3020441000 is about 54958.5389179880. The cubic root of 3020441000 is about 1445.5178278436.

Adding to 3020441000 its reverse (1440203), we get a palindrome (3021881203).

The spelling of 3020441000 in words is "three billion, twenty million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 127 136 170 200 250 254 340 425 500 508 635 680 850 1000 1016 1270 1399 1700 2125 2159 2540 2798 3175 3400 4250 4318 5080 5596 6350 6995 8500 8636 10795 11192 12700 13990 15875 17000 17272 21590 23783 25400 27980 31750 34975 43180 47566 53975 55960 63500 69950 86360 95132 107950 118915 127000 139900 174875 177673 190264 215900 237830 269875 279800 349750 355346 431800 475660 539750 594575 699500 710692 888365 951320 1079500 1189150 1399000 1421384 1776730 2159000 2378300 2972875 3020441 3553460 4441825 4756600 5945750 6040882 7106920 8883650 11891500 12081764 15102205 17767300 22209125 23783000 24163528 30204410 35534600 44418250 60408820 75511025 88836500 120817640 151022050 177673000 302044100 377555125 604088200 755110250 1510220500 3020441000