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2448512340 = 2235291578963
BaseRepresentation
bin1001000111110001…
…0101010101010100
320022122022022111020
42101330111111110
520003304343330
61042544041140
7114451003641
oct22174252524
96278268436
102448512340
11104713761a
125840031b0
13300372b91
1419328adc8
15e4e5a210
hex91f15554

2448512340 has 96 divisors (see below), whose sum is σ = 7138212480. Its totient is φ = 626336256.

The previous prime is 2448512323. The next prime is 2448512359. The reversal of 2448512340 is 432158442.

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, 268699 + ... + 277661.

It is an arithmetic number, because the mean of its divisors is an integer number (74356380).

Almost surely, 22448512340 is an apocalyptic number.

2448512340 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 2448512340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569106240).

2448512340 is an abundant number, since it is smaller than the sum of its proper divisors (4689700140).

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

2448512340 is a wasteful number, since it uses less digits than its factorization.

2448512340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9161 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2448512340 is about 49482.4447657955. Note that the first 3 decimals coincide. The cubic root of 2448512340 is about 1347.8268355842.

The spelling of 2448512340 in words is "two billion, four hundred forty-eight million, five hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 157 174 290 314 348 435 471 580 628 785 870 942 1570 1740 1884 2355 3140 4553 4710 8963 9106 9420 13659 17926 18212 22765 26889 27318 35852 44815 45530 53778 54636 68295 89630 91060 107556 134445 136590 179260 259927 268890 273180 519854 537780 779781 1039708 1299635 1407191 1559562 2599270 2814382 3119124 3898905 4221573 5198540 5628764 7035955 7797810 8443146 14071910 15595620 16886292 21107865 28143820 40808539 42215730 81617078 84431460 122425617 163234156 204042695 244851234 408085390 489702468 612128085 816170780 1224256170 2448512340