Search a number
-
+
2440663344 = 2432721720347
BaseRepresentation
bin1001000101111001…
…1001000100110000
320022002112112200200
42101132121010300
514444302211334
61042103515200
7114324203400
oct22136310460
96262475620
102440663344
111042766549
12581458b00
132cb8553c2
14192206800
15e4409799
hex91799130

2440663344 has 180 divisors, whose sum is σ = 8413450344. Its totient is φ = 656280576.

The previous prime is 2440663333. The next prime is 2440663349. The reversal of 2440663344 is 4433660442.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2440663299 and 2440663308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440663349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109779 + ... + 130125.

Almost surely, 22440663344 is an apocalyptic number.

2440663344 is a gapful number since it is divisible by the number (24) 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 2440663344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206725172).

2440663344 is an abundant number, since it is smaller than the sum of its proper divisors (5972787000).

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

2440663344 is a wasteful number, since it uses less digits than its factorization.

2440663344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20392 (or 20376 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 2440663344 is about 49403.0701879954. The cubic root of 2440663344 is about 1346.3850877910.

The spelling of 2440663344 in words is "two billion, four hundred forty million, six hundred sixty-three thousand, three hundred forty-four".