Search a number
-
+
3441214014 = 237738912611
BaseRepresentation
bin1100110100011100…
…1100001000111110
322212211020210011220
43031013030020332
524021422322024
61325245054210
7151163556630
oct31507141076
98784223156
103441214014
111506526027
12800557366
1342ac26114
14249058a50
15152198e79
hexcd1cc23e

3441214014 has 64 divisors (see below), whose sum is σ = 8063608320. Its totient is φ = 958763520.

The previous prime is 3441213959. The next prime is 3441214043. The reversal of 3441214014 is 4104121443.

3441214014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 266569 + ... + 279179.

It is an arithmetic number, because the mean of its divisors is an integer number (125993880).

Almost surely, 23441214014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441214014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031804160).

3441214014 is an abundant number, since it is smaller than the sum of its proper divisors (4622394306).

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

3441214014 is a wasteful number, since it uses less digits than its factorization.

3441214014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12785.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3441214014 is about 58661.8616649693. The cubic root of 3441214014 is about 1509.7460231002.

Adding to 3441214014 its reverse (4104121443), we get a palindrome (7545335457).

The spelling of 3441214014 in words is "three billion, four hundred forty-one million, two hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 73 89 146 178 219 267 438 511 534 623 1022 1246 1533 1869 3066 3738 6497 12611 12994 19491 25222 37833 38982 45479 75666 88277 90958 136437 176554 264831 272874 529662 920603 1122379 1841206 2244758 2761809 3367137 5523618 6444221 6734274 7856653 12888442 15713306 19332663 23569959 38665326 47139918 81933667 163867334 245801001 491602002 573535669 1147071338 1720607007 3441214014