Search a number
-
+
344213997444 = 2236376474931
BaseRepresentation
bin1010000001001001100…
…00001100011110000100
31012220110212100211000000
411000210300030132010
521114422240404234
6422044004321300
733603641463102
oct5004460143604
91186425324000
10344213997444
11122a86911a59
12568646a3230
13265c7c4b085
141293524ac72
158e490dc899
hex5024c0c784

344213997444 has 168 divisors, whose sum is σ = 929180040768. Its totient is φ = 111441821760.

The previous prime is 344213997443. The next prime is 344213997487. The reversal of 344213997444 is 444799312443.

344213997444 is a `hidden beast` number, since 3 + 442 + 1 + 3 + 99 + 74 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (344213997443) 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 55 ways as a sum of consecutive naturals, for example, 69803659 + ... + 69808589.

It is an arithmetic number, because the mean of its divisors is an integer number (5530833576).

Almost surely, 2344213997444 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 344213997444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464590020384).

344213997444 is an abundant number, since it is smaller than the sum of its proper divisors (584966043324).

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

344213997444 is a wasteful number, since it uses less digits than its factorization.

344213997444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5620 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 344213997444 in words is "three hundred forty-four billion, two hundred thirteen million, nine hundred ninety-seven thousand, four hundred forty-four".