Search a number
-
+
350044416 = 283517331
BaseRepresentation
bin10100110111010…
…100000100000000
3220101200002200000
4110313110010000
51204102410131
654422400000
711450220441
oct2467240400
9811602600
10350044416
1116a655607
1299290000
13576a0497
14346bd2c8
1520ae6ce6
hex14dd4100

350044416 has 216 divisors, whose sum is σ = 1111559904. Its totient is φ = 109486080.

The previous prime is 350044411. The next prime is 350044427. The reversal of 350044416 is 614440053.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 350044416.

It is not an unprimeable number, because it can be changed into a prime (350044411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057371 + ... + 1057701.

Almost surely, 2350044416 is an apocalyptic number.

350044416 is a gapful number since it is divisible by the number (36) 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 350044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555779952).

350044416 is an abundant number, since it is smaller than the sum of its proper divisors (761515488).

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

350044416 is an equidigital number, since it uses as much as digits as its factorization.

350044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 350044416 is about 18709.4739637436. The cubic root of 350044416 is about 704.7596826904.

Adding to 350044416 its reverse (614440053), we get a palindrome (964484469).

The spelling of 350044416 in words is "three hundred fifty million, forty-four thousand, four hundred sixteen".