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34417063936 = 21131695303
BaseRepresentation
bin100000000011011010…
…101011100000000000
310021211120202222222201
4200003122223200000
51030441232021221
623451101042544
72325613134163
oct400332534000
9107746688881
1034417063936
11136615985a2
126806256454
133326520cb8
141946d25ada
15d667d3891
hex8036ab800

34417063936 has 48 divisors (see below), whose sum is σ = 68852019600. Its totient is φ = 17199857664.

The previous prime is 34417063883. The next prime is 34417063957. The reversal of 34417063936 is 63936071443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6487461 + ... + 6492763.

It is an arithmetic number, because the mean of its divisors is an integer number (1434417075).

Almost surely, 234417063936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34417063936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34426009800).

34417063936 is an abundant number, since it is smaller than the sum of its proper divisors (34434955664).

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

34417063936 is an equidigital number, since it uses as much as digits as its factorization.

34417063936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 34417063936 in words is "thirty-four billion, four hundred seventeen million, sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3169 5303 6338 10606 12676 21212 25352 42424 50704 84848 101408 169696 202816 339392 405632 678784 811264 1357568 1622528 2715136 3245056 5430272 6490112 10860544 16805207 33610414 67220828 134441656 268883312 537766624 1075533248 2151066496 4302132992 8604265984 17208531968 34417063936