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3443920320 = 26357150527
BaseRepresentation
bin1100110101000110…
…0000110111000000
322220000100021112110
43031101200313000
524023120422240
61325423055320
7151225561011
oct31521406700
98800307473
103443920320
111508004345
12801441540
1342b662b99
14249561008
15152530c80
hexcd460dc0

3443920320 has 112 divisors (see below), whose sum is σ = 11088672768. Its totient is φ = 905425920.

The previous prime is 3443920309. The next prime is 3443920351. The reversal of 3443920320 is 230293443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42897 + ... + 93423.

Almost surely, 23443920320 is an apocalyptic number.

3443920320 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 3443920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544336384).

3443920320 is an abundant number, since it is smaller than the sum of its proper divisors (7644752448).

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

3443920320 is a wasteful number, since it uses less digits than its factorization.

3443920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50618 (or 50608 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3443920320 is about 58684.9241287743. The cubic root of 3443920320 is about 1510.1416939385.

The spelling of 3443920320 in words is "three billion, four hundred forty-three million, nine hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1704 2130 2272 2840 3408 4260 4544 5680 6816 8520 11360 13632 17040 22720 34080 50527 68160 101054 151581 202108 252635 303162 404216 505270 606324 757905 808432 1010540 1212648 1515810 1616864 2021080 2425296 3031620 3233728 3587417 4042160 4850592 6063240 7174834 8084320 9701184 10762251 12126480 14349668 16168640 17937085 21524502 24252960 28699336 35874170 43049004 48505920 53811255 57398672 71748340 86098008 107622510 114797344 143496680 172196016 215245020 229594688 286993360 344392032 430490040 573986720 688784064 860980080 1147973440 1721960160 3443920320