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3001304100 = 22352171095399
BaseRepresentation
bin1011001011100100…
…0100010000100100
321202011111001020010
42302321010100210
522121313212400
61213452210220
7134242443504
oct26271042044
97664431203
103001304100
111300181213
126b9169970
1338aa4ccb2
14206865a04
15128750450
hexb2e44424

3001304100 has 144 divisors (see below), whose sum is σ = 9280656000. Its totient is φ = 746219520.

The previous prime is 3001304093. The next prime is 3001304101. The reversal of 3001304100 is 14031003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3001304101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553201 + ... + 558599.

It is an arithmetic number, because the mean of its divisors is an integer number (64449000).

Almost surely, 23001304100 is an apocalyptic number.

3001304100 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 3001304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640328000).

3001304100 is an abundant number, since it is smaller than the sum of its proper divisors (6279351900).

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

3001304100 is a wasteful number, since it uses less digits than its factorization.

3001304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3001304100 is about 54784.1592068364. The cubic root of 3001304100 is about 1442.4585219960.

Adding to 3001304100 its reverse (14031003), we get a palindrome (3015335103).

The spelling of 3001304100 in words is "three billion, one million, three hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 109 150 170 204 218 255 300 327 340 425 436 510 545 654 850 1020 1090 1275 1308 1635 1700 1853 2180 2550 2725 3270 3706 5100 5399 5450 5559 6540 7412 8175 9265 10798 10900 11118 16197 16350 18530 21596 22236 26995 27795 32394 32700 37060 46325 53990 55590 64788 80985 91783 92650 107980 111180 134975 138975 161970 183566 185300 269950 275349 277950 323940 367132 404925 458915 539900 550698 555900 588491 809850 917830 1101396 1176982 1376745 1619700 1765473 1835660 2294575 2353964 2753490 2942455 3530946 4589150 5506980 5884910 6883725 7061892 8827365 9178300 10004347 11769820 13767450 14712275 17654730 20008694 27534900 29424550 30013041 35309460 40017388 44136825 50021735 58849100 60026082 88273650 100043470 120052164 150065205 176547300 200086940 250108675 300130410 500217350 600260820 750326025 1000434700 1500652050 3001304100