Search a number
-
+
494593344 = 26337311319
BaseRepresentation
bin11101011110101…
…110010101000000
31021110122221112000
4131132232111000
52003103441334
6121024504000
715153655050
oct3536562500
91243587460
10494593344
11234204333
1211977b000
137b6111ab
1449989560
152d64b299
hex1d7ae540

494593344 has 224 divisors, whose sum is σ = 1716633600. Its totient is φ = 136650240.

The previous prime is 494593343. The next prime is 494593349. The reversal of 494593344 is 443395494.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 494593344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494593343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374317 + ... + 375635.

Almost surely, 2494593344 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 494593344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858316800).

494593344 is an abundant number, since it is smaller than the sum of its proper divisors (1222040256).

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

494593344 is a wasteful number, since it uses less digits than its factorization.

494593344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1362 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 494593344 is about 22239.4546695732. The cubic root of 494593344 is about 790.8293080477.

It can be divided in two parts, 4945 and 93344, that added together give a palindrome (98289).

The spelling of 494593344 in words is "four hundred ninety-four million, five hundred ninety-three thousand, three hundred forty-four".