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3300241020 = 2235238328813
BaseRepresentation
bin1100010010110101…
…1010111001111100
322111222222121120220
43010231122321330
523224330203040
61303251341340
7144532404636
oct30455327174
98458877526
103300241020
111443999a1a
127812b1850
13407967c4b
1423443da56
15144aee2d0
hexc4b5ae7c

3300241020 has 96 divisors (see below), whose sum is σ = 9758956032. Its totient is φ = 831629568.

The previous prime is 3300241019. The next prime is 3300241031. The reversal of 3300241020 is 201420033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100134 + ... + 128946.

It is an arithmetic number, because the mean of its divisors is an integer number (101655792).

Almost surely, 23300241020 is an apocalyptic number.

3300241020 is a gapful number since it is divisible by the number (30) 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 3300241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879478016).

3300241020 is an abundant number, since it is smaller than the sum of its proper divisors (6458715012).

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

3300241020 is a wasteful number, since it uses less digits than its factorization.

3300241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28931 (or 28929 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3300241020 is about 57447.7242369095. The cubic root of 3300241020 is about 1488.8417977194.

Adding to 3300241020 its reverse (201420033), we get a palindrome (3501661053).

The spelling of 3300241020 in words is "three billion, three hundred million, two hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 83 92 115 138 166 230 249 276 332 345 415 460 498 690 830 996 1245 1380 1660 1909 2490 3818 4980 5727 7636 9545 11454 19090 22908 28635 28813 38180 57270 57626 86439 114540 115252 144065 172878 288130 345756 432195 576260 662699 864390 1325398 1728780 1988097 2391479 2650796 3313495 3976194 4782958 6626990 7174437 7952388 9565916 9940485 11957395 13253980 14348874 19880970 23914790 28697748 35872185 39761940 47829580 55004017 71744370 110008034 143488740 165012051 220016068 275020085 330024102 550040170 660048204 825060255 1100080340 1650120510 3300241020