Search a number
-
+
689263344 = 24347116907
BaseRepresentation
bin101001000101010…
…101001011110000
31210000222012120000
4221011111023300
52402422411334
6152221150000
723036433060
oct5105251360
91700865500
10689263344
11324086830
121729bb300
13aca50443
14677813a0
15407a1299
hex291552f0

689263344 has 200 divisors, whose sum is σ = 2487543168. Its totient is φ = 179003520.

The previous prime is 689263301. The next prime is 689263349. The reversal of 689263344 is 443362986.

689263344 is a `hidden beast` number, since 6 + 8 + 9 + 2 + 633 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 689263344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689263349) 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 39 ways as a sum of consecutive naturals, for example, 96339 + ... + 103245.

Almost surely, 2689263344 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 689263344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243771584).

689263344 is an abundant number, since it is smaller than the sum of its proper divisors (1798279824).

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

689263344 is a wasteful number, since it uses less digits than its factorization.

689263344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6930 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 689263344 is about 26253.8253212746. The cubic root of 689263344 is about 883.3410115705.

The spelling of 689263344 in words is "six hundred eighty-nine million, two hundred sixty-three thousand, three hundred forty-four".