Search a number
-
+
3412104210304 = 2767491810319
BaseRepresentation
bin110001101001110001010…
…000100110011110000000
3110002012020102001020110021
4301221301100212132000
5421400442134212204
611131255442543224
7501342060151006
oct61516120463600
913065212036407
103412104210304
1110a6079967469
12471356967b14
131b99b5a8ba5a
14bb20a882a76
155db53ae5154
hex31a71426780

3412104210304 has 64 divisors (see below), whose sum is σ = 6913066809600. Its totient is φ = 1677163783680.

The previous prime is 3412104210283. The next prime is 3412104210367. The reversal of 3412104210304 is 4030124012143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3805657 + ... + 4615975.

It is an arithmetic number, because the mean of its divisors is an integer number (108016668900).

Almost surely, 23412104210304 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 3412104210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456533404800).

3412104210304 is an abundant number, since it is smaller than the sum of its proper divisors (3500962599296).

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

3412104210304 is an equidigital number, since it uses as much as digits as its factorization.

3412104210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810891 (or 810879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3412104210304 its reverse (4030124012143), we get a palindrome (7442228222447).

The spelling of 3412104210304 in words is "three trillion, four hundred twelve billion, one hundred four million, two hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 491 536 982 1072 1964 2144 3928 4288 7856 8576 15712 31424 32897 62848 65794 131588 263176 526352 810319 1052704 1620638 2105408 3241276 4210816 6482552 12965104 25930208 51860416 54291373 103720832 108582746 217165492 397866629 434330984 795733258 868661968 1591466516 1737323936 3182933032 3474647872 6365866064 6949295744 12731732128 25463464256 26657064143 50926928512 53314128286 106628256572 213256513144 426513026288 853026052576 1706052105152 3412104210304