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34218326408 = 237293432
BaseRepresentation
bin11111110111100100…
…100011100110001000
310021022201211002100112
4133313210203212020
51030034342421113
623415241253452
72320650655400
oct376744434610
9107281732315
1034218326408
111356a398102
12676b794288
1332c42b9526
141928791800
15d541285a8
hex7f7923988

34218326408 has 36 divisors (see below), whose sum is σ = 74642349015. Its totient is φ = 14663427408.

The previous prime is 34218326399. The next prime is 34218326413. The reversal of 34218326408 is 80462381243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 17109163204 + 17109163204 = 130802^2 + 130802^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=130802.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3657785 + ... + 3667127.

Almost surely, 234218326408 is an apocalyptic number.

It is an amenable number.

34218326408 is an abundant number, since it is smaller than the sum of its proper divisors (40424022607).

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

34218326408 is an frugal number, since it uses more digits than its factorization.

34218326408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18706 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 34218326408 in words is "thirty-four billion, two hundred eighteen million, three hundred twenty-six thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 9343 18686 37372 65401 74744 130802 261604 457807 523208 915614 1831228 3662456 87291649 174583298 349166596 611041543 698333192 1222083086 2444166172 4277290801 4888332344 8554581602 17109163204 34218326408