Search a number
-
+
6923352240 = 24325719197367
BaseRepresentation
bin1100111001010100…
…11111100010110000
3122212111111201211100
412130222133202300
5103134334232430
63102555244400
7333365344260
oct63452374260
918774451740
106923352240
112a33063012
121412749700
1386447a63c
144996c77a0
152a7c28960
hex19ca9f8b0

6923352240 has 480 divisors, whose sum is σ = 28189624320. Its totient is φ = 1487517696.

The previous prime is 6923352229. The next prime is 6923352281. The reversal of 6923352240 is 422533296.

It is a happy number.

6923352240 is a `hidden beast` number, since 6 + 92 + 3 + 3 + 522 + 40 = 666.

It is a super-2 number, since 2×69233522402 = 95865612478226035200, which contains 22 as substring.

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 = 6923352195 and 6923352204.

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 95 ways as a sum of consecutive naturals, for example, 18864537 + ... + 18864903.

It is an arithmetic number, because the mean of its divisors is an integer number (58728384).

Almost surely, 26923352240 is an apocalyptic number.

6923352240 is a gapful number since it is divisible by the number (60) 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 6923352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094812160).

6923352240 is an abundant number, since it is smaller than the sum of its proper divisors (21266272080).

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

6923352240 is a wasteful number, since it uses less digits than its factorization.

6923352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6923352240 is about 83206.6838661414. The cubic root of 6923352240 is about 1905.9235483040.

The spelling of 6923352240 in words is "six billion, nine hundred twenty-three million, three hundred fifty-two thousand, two hundred forty".