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2984573040 = 2435177110303
BaseRepresentation
bin1011000111100100…
…1111100001110000
321201000000000112020
42301321033201300
522103022314130
61212053431440
7133650311061
oct26171174160
97630000466
102984573040
1112a1793999
126b363b580
13387442767
1420454c568
15127047e10
hexb1e4f870

2984573040 has 160 divisors (see below), whose sum is σ = 9935364096. Its totient is φ = 738447360.

The previous prime is 2984573027. The next prime is 2984573071. The reversal of 2984573040 is 403754892.

2984573040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2984572983 and 2984573001.

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, 284529 + ... + 294831.

Almost surely, 22984573040 is an apocalyptic number.

2984573040 is a gapful number since it is divisible by the number (20) 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 2984573040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967682048).

2984573040 is an abundant number, since it is smaller than the sum of its proper divisors (6950791056).

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

2984573040 is a wasteful number, since it uses less digits than its factorization.

2984573040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10407 (or 10401 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2984573040 is about 54631.2460044616. The cubic root of 2984573040 is about 1439.7731509938.

The spelling of 2984573040 in words is "two billion, nine hundred eighty-four million, five hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 71 80 85 102 120 136 142 170 204 213 240 255 272 284 340 355 408 426 510 568 680 710 816 852 1020 1065 1136 1207 1360 1420 1704 2040 2130 2414 2840 3408 3621 4080 4260 4828 5680 6035 7242 8520 9656 10303 12070 14484 17040 18105 19312 20606 24140 28968 30909 36210 41212 48280 51515 57936 61818 72420 82424 96560 103030 123636 144840 154545 164848 175151 206060 247272 289680 309090 350302 412120 494544 525453 618180 700604 731513 824240 875755 1050906 1236360 1401208 1463026 1751510 2101812 2194539 2472720 2627265 2802416 2926052 3503020 3657565 4203624 4389078 5254530 5852104 7006040 7315130 8407248 8778156 10509060 10972695 11704208 12435721 14012080 14630260 17556312 21018120 21945390 24871442 29260520 35112624 37307163 42036240 43890780 49742884 58521040 62178605 74614326 87781560 99485768 124357210 149228652 175563120 186535815 198971536 248714420 298457304 373071630 497428840 596914608 746143260 994857680 1492286520 2984573040