Search a number
-
+
3243343042440 = 23325211228118719
BaseRepresentation
bin101111001100100110010…
…011110101011110001000
3102111001122011010122112200
4233030212103311132020
5411114331304324230
610521545441240200
7453216030663234
oct57144623653610
912431564118480
103243343042440
111040548659206
124446b9033060
131a6acc6a4247
14b2d9b5675c4
1559577e06160
hex2f3264f5788

3243343042440 has 192 divisors, whose sum is σ = 10596030681600. Its totient is φ = 860369126400.

The previous prime is 3243343042421. The next prime is 3243343042567. The reversal of 3243343042440 is 442403433423.

3243343042440 is a `hidden beast` number, since 32 + 43 + 343 + 0 + 4 + 244 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3243343042395 and 3243343042404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173255401 + ... + 173274119.

It is an arithmetic number, because the mean of its divisors is an integer number (55187659800).

Almost surely, 23243343042440 is an apocalyptic number.

3243343042440 is a gapful number since it is divisible by the number (30) 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 3243343042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298015340800).

3243343042440 is an abundant number, since it is smaller than the sum of its proper divisors (7352687639160).

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

3243343042440 is a wasteful number, since it uses less digits than its factorization.

3243343042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21228 (or 21221 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 3243343042440 its reverse (442403433423), we get a palindrome (3685746475863).

The spelling of 3243343042440 in words is "three trillion, two hundred forty-three billion, three hundred forty-three million, forty-two thousand, four hundred forty".