Search a number
-
+
344343989808 = 2437713108139
BaseRepresentation
bin1010000001011001000…
…00000100111000110000
31012220210220222010000000
411000230200010320300
521120204030133213
6422104530430000
733610110422430
oct5005440047060
91186726863000
10344343989808
11123043229165
12568a0132300
1326618b63230
14129486082c0
158e55718c73
hex502c804e30

344343989808 has 320 divisors, whose sum is σ = 1231515622400. Its totient is φ = 90815157504.

The previous prime is 344343989797. The next prime is 344343989813. The reversal of 344343989808 is 808989343443.

344343989808 is a `hidden beast` number, since 3 + 4 + 43 + 439 + 89 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3130203 + ... + 3238341.

It is an arithmetic number, because the mean of its divisors is an integer number (3848486320).

Almost surely, 2344343989808 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 344343989808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615757811200).

344343989808 is an abundant number, since it is smaller than the sum of its proper divisors (887171632592).

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

344343989808 is a wasteful number, since it uses less digits than its factorization.

344343989808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108188 (or 108164 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 344343989808 in words is "three hundred forty-four billion, three hundred forty-three million, nine hundred eighty-nine thousand, eight hundred eight".