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344424211110 = 2325716313212539
BaseRepresentation
bin1010000001100010100…
…10000110001010100110
31012221000111220202221100
411000301102012022212
521120340044223420
6422120514100530
733612103326660
oct5006122061246
91187014822840
10344424211110
11123084540661
1256902b7a746
132662c670265
141295512b530
158e5c7b3190
hex50314862a6

344424211110 has 192 divisors, whose sum is σ = 1030896023040. Its totient is φ = 78152532480.

The previous prime is 344424211073. The next prime is 344424211133. The reversal of 344424211110 is 11112424443.

344424211110 is a `hidden beast` number, since 3 + 4 + 442 + 4 + 211 + 1 + 1 + 0 = 666.

It is a Curzon number.

It is a congruent number.

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, 135652221 + ... + 135654759.

It is an arithmetic number, because the mean of its divisors is an integer number (5369250120).

Almost surely, 2344424211110 is an apocalyptic number.

344424211110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344424211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515448011520).

344424211110 is an abundant number, since it is smaller than the sum of its proper divisors (686471811930).

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

344424211110 is a wasteful number, since it uses less digits than its factorization.

344424211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 344424211110 its reverse (11112424443), we get a palindrome (355536635553).

The spelling of 344424211110 in words is "three hundred forty-four billion, four hundred twenty-four million, two hundred eleven thousand, one hundred ten".