Search a number
-
+
344203013401434 = 2321123317659361807
BaseRepresentation
bin100111001000011010000001…
…0010110000010101101011010
31200010201111010211002122020200
41032100310002112002231122
5330103410232412321214
63220020403104203030
7132333563355143655
oct11620640226025532
91603644124078220
10344203013401434
119a745750790470
1232730a24909476
1311a0a2881b1535
1460dd72c62689c
1529bd79c2e9d09
hex1390d02582b5a

344203013401434 has 192 divisors, whose sum is σ = 852916106465280. Its totient is φ = 99303069317760.

The previous prime is 344203013401367. The next prime is 344203013401441. The reversal of 344203013401434 is 434104310302443.

344203013401434 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 0 + 301 + 340 + 1 + 4 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 951163359 + ... + 951525165.

It is an arithmetic number, because the mean of its divisors is an integer number (4442271387840).

Almost surely, 2344203013401434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344203013401434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426458053232640).

344203013401434 is an abundant number, since it is smaller than the sum of its proper divisors (508713093063846).

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

344203013401434 is a wasteful number, since it uses less digits than its factorization.

344203013401434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362825 (or 362822 counting only the distinct ones).

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

Adding to 344203013401434 its reverse (434104310302443), we get a palindrome (778307323703877).

The spelling of 344203013401434 in words is "three hundred forty-four trillion, two hundred three billion, thirteen million, four hundred one thousand, four hundred thirty-four".