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344545002401 = 648168577753
BaseRepresentation
bin1010000001110000111…
…10111000001110100001
31012221022221012121102212
411000320132320032201
521121112010034101
6422140511051505
733615101125115
oct5007036701641
91187287177385
10344545002401
11123136742976
1256937510b95
132664b6b33b2
14129671b1745
158e681c31bb
hex50387b83a1

344545002401 has 8 divisors (see below), whose sum is σ = 344692873224. Its totient is φ = 344397173760.

The previous prime is 344545002371. The next prime is 344545002419. The reversal of 344545002401 is 104200545443.

It can be written as a sum of positive squares in 4 ways, for example, as 136900740001 + 207644262400 = 370001^2 + 455680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 344545002401 - 230 = 343471260577 is a prime.

It is a super-2 number, since 2×3445450024012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (344545002421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44436341 + ... + 44444093.

It is an arithmetic number, because the mean of its divisors is an integer number (43086609153).

Almost surely, 2344545002401 is an apocalyptic number.

It is an amenable number.

344545002401 is a deficient number, since it is larger than the sum of its proper divisors (147870823).

344545002401 is an equidigital number, since it uses as much as digits as its factorization.

344545002401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21091.

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 344545002401 its reverse (104200545443), we get a palindrome (448745547844).

The spelling of 344545002401 in words is "three hundred forty-four billion, five hundred forty-five million, two thousand, four hundred one".

Divisors: 1 6481 6857 7753 44440217 50247193 53162321 344545002401