Search a number
-
+
3421789504 = 267471011609
BaseRepresentation
bin1100101111110100…
…0101110101000000
322211110200220202121
43023331011311000
524001434231004
61323312454024
7150536505460
oct31375056500
98743626677
103421789504
1114a6569111
127b5b4a314
13426bb4923
1424663dba0
1515060d854
hexcbf45d40

3421789504 has 112 divisors (see below), whose sum is σ = 8008680960. Its totient is φ = 1420185600.

The previous prime is 3421789493. The next prime is 3421789513. The reversal of 3421789504 is 4059871243.

3421789504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125852 + ... + 2127460.

It is an arithmetic number, because the mean of its divisors is an integer number (71506080).

Almost surely, 23421789504 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 3421789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004340480).

3421789504 is an abundant number, since it is smaller than the sum of its proper divisors (4586891456).

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

3421789504 is a wasteful number, since it uses less digits than its factorization.

3421789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 3421789504 is about 58496.0640043414. The cubic root of 3421789504 is about 1506.8999897965.

The spelling of 3421789504 in words is "three billion, four hundred twenty-one million, seven hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 101 112 188 202 224 329 376 404 448 658 707 752 808 1316 1414 1504 1609 1616 2632 2828 3008 3218 3232 4747 5264 5656 6436 6464 9494 10528 11263 11312 12872 18988 21056 22526 22624 25744 33229 37976 45052 45248 51488 66458 75623 75952 90104 102976 132916 151246 151904 162509 180208 265832 302492 303808 325018 360416 529361 531664 604984 650036 720832 1058722 1063328 1137563 1209968 1300072 2117444 2126656 2275126 2419936 2600144 4234888 4550252 4839872 5200288 7637923 8469776 9100504 10400576 15275846 16939552 18201008 30551692 33879104 36402016 53465461 61103384 72804032 106930922 122206768 213861844 244413536 427723688 488827072 855447376 1710894752 3421789504