Search a number
-
+
3232430302304 = 257431321725391
BaseRepresentation
bin101111000010011011110…
…111000010010001100000
3102110000110121220000100002
4233002123313002101200
5410430004124133204
610512542531315132
7452351431141310
oct57023367022140
912400417800302
103232430302304
111036958700005
1244257244baa8
131a5a8087c568
14b26440cd440
1559139d5191e
hex2f09bdc2460

3232430302304 has 96 divisors (see below), whose sum is σ = 7442963168256. Its totient is φ = 1352954695680.

The previous prime is 3232430302253. The next prime is 3232430302327. The reversal of 3232430302304 is 4032030342323.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127293449 + ... + 127318839.

It is an arithmetic number, because the mean of its divisors is an integer number (77530866336).

Almost surely, 23232430302304 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 3232430302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721481584128).

3232430302304 is an abundant number, since it is smaller than the sum of its proper divisors (4210532865952).

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

3232430302304 is a wasteful number, since it uses less digits than its factorization.

3232430302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38668 (or 38660 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 29.

Adding to 3232430302304 its reverse (4032030342323), we get a palindrome (7264460644627).

The spelling of 3232430302304 in words is "three trillion, two hundred thirty-two billion, four hundred thirty million, three hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 13217 25391 26434 50782 52868 92519 101564 105736 177737 185038 203128 211472 355474 370076 406256 422944 568331 710948 740152 812512 1091813 1136662 1421896 1480304 2183626 2273324 2843792 2960608 3978317 4367252 4546648 5687584 7642691 7956634 8734504 9093296 15285382 15913268 17469008 18186592 30570764 31826536 34938016 61141528 63653072 122283056 127306144 244566112 335592847 671185694 1342371388 2349149929 2684742776 4698299858 5369485552 9396599716 10738971104 14430492421 18793199432 28860984842 37586398864 57721969684 75172797728 101013446947 115443939368 202026893894 230887878736 404053787788 461775757472 808107575576 1616215151152 3232430302304