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3000003999984 = 2432233283315949
BaseRepresentation
bin101011101001111110001…
…011000011100011110000
3101121210112102210111101200
4223221332023003203300
5343123002010444414
610214103253131200
7426512616153615
oct53517613034360
911553472714350
103000003999984
11a57327058a52
12405507329b00
13189b8c600764
14a52b565850c
1553084c84109
hex2ba7e2c38f0

3000003999984 has 120 divisors (see below), whose sum is σ = 8461699599600. Its totient is φ = 992187933696.

The previous prime is 3000003999899. The next prime is 3000003999989. The reversal of 3000003999984 is 4899993000003.

It is a self number, because there is not a number n which added to its sum of digits gives 3000003999984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000003999989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9337242 + ... + 9653190.

It is an arithmetic number, because the mean of its divisors is an integer number (70514163330).

Almost surely, 23000003999984 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 3000003999984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230849799800).

3000003999984 is an abundant number, since it is smaller than the sum of its proper divisors (5461695599616).

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

3000003999984 is a wasteful number, since it uses less digits than its factorization.

3000003999984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316479 (or 316470 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

Adding to 3000003999984 its reverse (4899993000003), we get a palindrome (7899996999987).

The spelling of 3000003999984 in words is "three trillion, three million, nine hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 283 466 566 699 849 932 1132 1398 1698 1864 2097 2264 2547 2796 3396 3728 4194 4528 5094 5592 6792 8388 10188 11184 13584 16776 20376 33552 40752 65939 131878 197817 263756 315949 395634 527512 593451 631898 791268 947847 1055024 1186902 1263796 1582536 1895694 2373804 2527592 2843541 3165072 3791388 4747608 5055184 5687082 7582776 9495216 11374164 15165552 22748328 45496656 73616117 89413567 147232234 178827134 220848351 268240701 294464468 357654268 441696702 536481402 588928936 662545053 715308536 804722103 883393404 1072962804 1177857872 1325090106 1430617072 1609444206 1766786808 2145925608 2650180212 3218888412 3533573616 4291851216 5300360424 6437776824 10600720848 12875553648 20833361111 41666722222 62500083333 83333444444 125000166666 166666888888 187500249999 250000333332 333333777776 375000499998 500000666664 750000999996 1000001333328 1500001999992 3000003999984