Search a number
-
+
3421214104 = 2372111674751
BaseRepresentation
bin1100101111101011…
…1001010110011000
322211102121200110111
43023322321112120
524001312322404
61323252254104
7150531561100
oct31372712630
98742550414
103421214104
1114a6205880
127b5911334
13426a42a59
14246530200
15150548104
hexcbeb9598

3421214104 has 96 divisors (see below), whose sum is σ = 8190927360. Its totient is φ = 1324680000.

The previous prime is 3421214087. The next prime is 3421214141. The reversal of 3421214104 is 4014121243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717729 + ... + 722479.

It is an arithmetic number, because the mean of its divisors is an integer number (85322160).

Almost surely, 23421214104 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 3421214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095463680).

3421214104 is an abundant number, since it is smaller than the sum of its proper divisors (4769713256).

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

3421214104 is a wasteful number, since it uses less digits than its factorization.

3421214104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3421214104 is about 58491.1455179329. The cubic root of 3421214104 is about 1506.8155194865.

Adding to 3421214104 its reverse (4014121243), we get a palindrome (7435335347).

The spelling of 3421214104 in words is "three billion, four hundred twenty-one million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 167 196 308 334 392 539 616 668 1078 1169 1336 1837 2156 2338 3674 4312 4676 4751 7348 8183 9352 9502 12859 14696 16366 19004 25718 32732 33257 38008 51436 52261 65464 66514 90013 102872 104522 133028 180026 209044 232799 266056 360052 365827 418088 465598 720104 731654 793417 931196 1463308 1586834 1862392 2560789 2926616 3173668 5121578 5553919 6347336 8727587 10243156 11107838 17455174 20486312 22215676 34910348 38877433 44431352 61093109 69820696 77754866 122186218 155509732 244372436 311019464 427651763 488744872 855303526 1710607052 3421214104