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344853216807 = 311372811005107
BaseRepresentation
bin1010000010010101101…
…10100111111000100111
31012222010102011112010020
411001022312213320213
521122224410414212
6422231241130223
733625532656311
oct5011266477047
91188112145106
10344853216807
11123284717a20
1256a02789973
132669a4c9098
14129960c27b1
158e852a5d8c
hex504ada7e27

344853216807 has 32 divisors (see below), whose sum is σ = 516995391744. Its totient is φ = 202629369600.

The previous prime is 344853216791. The next prime is 344853216853. The reversal of 344853216807 is 708612358443.

It is a happy number.

It is not a de Polignac number, because 344853216807 - 24 = 344853216791 is a prime.

It is a super-2 number, since 2×3448532168072 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 344853216807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344853214807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159453 + ... + 845654.

It is an arithmetic number, because the mean of its divisors is an integer number (16156105992).

Almost surely, 2344853216807 is an apocalyptic number.

344853216807 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

344853216807 is a deficient number, since it is larger than the sum of its proper divisors (172142174937).

344853216807 is a wasteful number, since it uses less digits than its factorization.

344853216807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005439.

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 344853216807 in words is "three hundred forty-four billion, eight hundred fifty-three million, two hundred sixteen thousand, eight hundred seven".

Divisors: 1 3 11 33 37 111 281 407 843 1221 3091 9273 10397 31191 114367 343101 1005107 3015321 11056177 33168531 37188959 111566877 282435067 409078549 847305201 1227235647 3106785737 9320357211 10450097479 31350292437 114951072269 344853216807