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345440350401 = 38271301107021
BaseRepresentation
bin1010000011011011101…
…10010111000011000001
31020000122022221222222220
411001231312113003001
521124430212203101
6422405413321253
733646222350126
oct5015566270301
91200568858886
10345440350401
111235560880a3
1256b47336229
132676203b503
1412a1007a74d
158ebbad1636
hex506dd970c1

345440350401 has 16 divisors (see below), whose sum is σ = 461502836928. Its totient is φ = 229836152000.

The previous prime is 345440350373. The next prime is 345440350417. The reversal of 345440350401 is 104053044543.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 345440350401 - 25 = 345440350369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345440350471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3174271 + ... + 3281291.

It is an arithmetic number, because the mean of its divisors is an integer number (28843927308).

Almost surely, 2345440350401 is an apocalyptic number.

It is an amenable number.

345440350401 is a deficient number, since it is larger than the sum of its proper divisors (116062486527).

345440350401 is a wasteful number, since it uses less digits than its factorization.

345440350401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109152.

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 345440350401 its reverse (104053044543), we get a palindrome (449493394944).

The spelling of 345440350401 in words is "three hundred forty-five billion, four hundred forty million, three hundred fifty thousand, four hundred one".

Divisors: 1 3 827 1301 2481 3903 107021 321063 1075927 3227781 88506367 139234321 265519101 417702963 115146783467 345440350401