Search a number
-
+
3404330104 = 237174617757
BaseRepresentation
bin1100101011101001…
…1111010001111000
322210020211212222011
43022322133101320
523433002030404
61321450335304
7150235220440
oct31272372170
98706755864
103404330104
11149772365a
127b012a534
134233b0a16
142441b7120
1514dd10604
hexcae9f478

3404330104 has 64 divisors (see below), whose sum is σ = 7741863360. Its totient is φ = 1370019840.

The previous prime is 3404330071. The next prime is 3404330141. The reversal of 3404330104 is 4010334043.

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, 434994 + ... + 442750.

It is an arithmetic number, because the mean of its divisors is an integer number (120966615).

Almost surely, 23404330104 is an apocalyptic number.

3404330104 is a gapful number since it is divisible by the number (34) 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 3404330104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870931680).

3404330104 is an abundant number, since it is smaller than the sum of its proper divisors (4337533256).

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

3404330104 is a wasteful number, since it uses less digits than its factorization.

3404330104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3404330104 is about 58346.6374695235. The cubic root of 3404330104 is about 1504.3326738349.

Adding to 3404330104 its reverse (4010334043), we get a palindrome (7414664147).

The spelling of 3404330104 in words is "three billion, four hundred four million, three hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 461 476 922 952 1844 3227 3688 6454 7757 7837 12908 15514 15674 25816 31028 31348 54299 54859 62056 62696 108598 109718 131869 217196 219436 263738 434392 438872 527476 923083 1054952 1846166 3575977 3692332 7151954 7384664 14303908 25031839 28607816 50063678 60791609 100127356 121583218 200254712 243166436 425541263 486332872 851082526 1702165052 3404330104