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344836350405 = 3257663030009
BaseRepresentation
bin1010000010010011101…
…10010010000111000101
31012222002020102121202200
411001021312102013011
521122211101203110
6422225435425113
733625236421161
oct5011166220705
91188066377680
10344836350405
11123276147a48
12569b8bb5199
1326696b72071
1412993b71ca1
158e83a736c0
hex5049d921c5

344836350405 has 12 divisors (see below), whose sum is σ = 597716340780. Its totient is φ = 183912720192.

The previous prime is 344836350379. The next prime is 344836350437. The reversal of 344836350405 is 504053638443.

344836350405 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 3 + 635 + 0 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112650181956 + 232186168449 = 335634^2 + 481857^2 .

It is not a de Polignac number, because 344836350405 - 219 = 344835826117 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 7663030009 = 344836350405 / (3 + 4 + 4 + 8 + 3 + 6 + 3 + 5 + 0 + 4 + 0 + 5).

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 11 ways as a sum of consecutive naturals, for example, 3831514960 + ... + 3831515049.

It is an arithmetic number, because the mean of its divisors is an integer number (49809695065).

Almost surely, 2344836350405 is an apocalyptic number.

It is an amenable number.

344836350405 is a deficient number, since it is larger than the sum of its proper divisors (252879990375).

344836350405 is a wasteful number, since it uses less digits than its factorization.

344836350405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663030020 (or 7663030017 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 344836350405 its reverse (504053638443), we get a palindrome (848889988848).

The spelling of 344836350405 in words is "three hundred forty-four billion, eight hundred thirty-six million, three hundred fifty thousand, four hundred five".

Divisors: 1 3 5 9 15 45 7663030009 22989090027 38315150045 68967270081 114945450135 344836350405