Search a number
-
+
3324260352640 = 27516373172973
BaseRepresentation
bin110000010111111101010…
…110111000001010000000
3102202210111102022220120111
4300113331112320022000
5413431041122241030
611023051044121104
7462112161530503
oct60277526701200
912683442286514
103324260352640
1110718a133aa97
12458320096194
131b1626883756
14b6c7608713a
155b711bc062a
hex305fd5b8280

3324260352640 has 64 divisors (see below), whose sum is σ = 7951917060360. Its totient is φ = 1328891441152.

The previous prime is 3324260352601. The next prime is 3324260352643. The reversal of 3324260352640 is 462530624233.

It can be written as a sum of positive squares in 4 ways, for example, as 1501565947456 + 1822694405184 = 1225384^2 + 1350072^2 .

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

It is a super-2 number, since 2×33242603526402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3324260352593 and 3324260352602.

It is not an unprimeable number, because it can be changed into a prime (3324260352643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 538807 + ... + 2634166.

Almost surely, 23324260352640 is an apocalyptic number.

It is an amenable number.

3324260352640 is an abundant number, since it is smaller than the sum of its proper divisors (4627656707720).

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

3324260352640 is a wasteful number, since it uses less digits than its factorization.

3324260352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174629 (or 3174617 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

Adding to 3324260352640 its reverse (462530624233), we get a palindrome (3786790976873).

The spelling of 3324260352640 in words is "three trillion, three hundred twenty-four billion, two hundred sixty million, three hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1637 3274 6548 8185 13096 16370 26192 32740 52384 65480 104768 130960 209536 261920 523840 1047680 3172973 6345946 12691892 15864865 25383784 31729730 50767568 63459460 101535136 126918920 203070272 253837840 406140544 507675680 1015351360 2030702720 5194156801 10388313602 20776627204 25970784005 41553254408 51941568010 83106508816 103883136020 166213017632 207766272040 332426035264 415532544080 664852070528 831065088160 1662130176320 3324260352640