Search a number
-
+
3443840064 = 2634794903
BaseRepresentation
bin1100110101000100…
…1101010001000000
322220000012012110000
43031101031101000
524023110340224
61325421240000
7151225105020
oct31521152100
98800165400
103443840064
111507a5a015
12801403000
1342b6354b2
1424953da80
151525170c9
hexcd44d440

3443840064 has 140 divisors (see below), whose sum is σ = 11667118144. Its totient is φ = 983943936.

The previous prime is 3443840051. The next prime is 3443840069. The reversal of 3443840064 is 4600483443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3443840069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11164 + ... + 83739.

Almost surely, 23443840064 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 3443840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833559072).

3443840064 is an abundant number, since it is smaller than the sum of its proper divisors (8223278080).

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

3443840064 is an equidigital number, since it uses as much as digits as its factorization.

3443840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94934 (or 94915 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3443840064 is about 58684.2403375898. The cubic root of 3443840064 is about 1510.1299632303.

The spelling of 3443840064 in words is "three billion, four hundred forty-three million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 94903 189806 284709 379612 569418 664321 759224 854127 1138836 1328642 1518448 1708254 1992963 2277672 2562381 2657284 3036896 3416508 3985926 4555344 5124762 5314568 5978889 6073792 6833016 7687143 7971852 9110688 10249524 10629136 11957778 13666032 15374286 15943704 17936667 18221376 20499048 21258272 23915556 27332064 30748572 31887408 35873334 40998096 42516544 47831112 53810001 54664128 61497144 63774816 71746668 81996192 95662224 107620002 122994288 127549632 143493336 163992384 191324448 215240004 245988576 286986672 382648896 430480008 491977152 573973344 860960016 1147946688 1721920032 3443840064