Search a number
-
+
3410104100 = 2252132623157
BaseRepresentation
bin1100101101000010…
…0000111100100100
322210122201020101212
43023100200330210
523440441312400
61322214210552
7150335256314
oct31320407444
98718636355
103410104100
11149aa07757
127b2053a58
13424652ba0
14244c7b444
1514e5a1335
hexcb420f24

3410104100 has 36 divisors (see below), whose sum is σ = 7969154004. Its totient is φ = 1259114880.

The previous prime is 3410104091. The next prime is 3410104133. The reversal of 3410104100 is 14010143.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1245807616 + 2164296484 = 35296^2 + 46522^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1310279 + ... + 1312878.

It is an arithmetic number, because the mean of its divisors is an integer number (221365389).

Almost surely, 23410104100 is an apocalyptic number.

It is an amenable number.

3410104100 is an abundant number, since it is smaller than the sum of its proper divisors (4559049904).

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

3410104100 is a wasteful number, since it uses less digits than its factorization.

3410104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623184 (or 2623177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3410104100 is about 58396.0966161267. The cubic root of 3410104100 is about 1505.1826800027.

Adding to 3410104100 its reverse (14010143), we get a palindrome (3424114243).

The spelling of 3410104100 in words is "three billion, four hundred ten million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2623157 5246314 10492628 13115785 26231570 34101041 52463140 65578925 68202082 131157850 136404164 170505205 262315700 341010410 682020820 852526025 1705052050 3410104100