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34020326916 = 2234102472
BaseRepresentation
bin11111101011110001…
…001111111000000100
310020210221020200010000
4133223301033320010
51024133200430131
623343445401300
72313025002402
oct375361177004
9106727220100
1034020326916
1113478651164
126715409230
133292282974
14190a370472
15d41a66ce6
hex7ebc4fe04

34020326916 has 45 divisors (see below), whose sum is σ = 88944534679. Its totient is φ = 11339002296.

The previous prime is 34020326839. The next prime is 34020326929. The reversal of 34020326916 is 61962302043.

The square root of 34020326916 is 184446.

It is a perfect power (a square), and thus also a powerful number.

34020326916 is a `hidden beast` number, since 340 + 203 + 26 + 91 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3314905 + ... + 3325151.

Almost surely, 234020326916 is an apocalyptic number.

34020326916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34020326916 is the 184446-th square number.

It is an amenable number.

34020326916 is an abundant number, since it is smaller than the sum of its proper divisors (54924207763).

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

34020326916 is an frugal number, since it uses more digits than its factorization.

34020326916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20510 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 34020326916 by its sum of digits (36), we get a square (1224731768976 = 11066762).

34020326916 divided by its sum of digits (36) gives a square (945009081 = 307412).

Adding to 34020326916 its reverse (61962302043), we get a palindrome (95982628959).

The spelling of 34020326916 in words is "thirty-four billion, twenty million, three hundred twenty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 10247 20494 30741 40988 61482 92223 122964 184446 276669 368892 553338 830007 1106676 1660014 3320028 105001009 210002018 315003027 420004036 630006054 945009081 1260012108 1890018162 2835027243 3780036324 5670054486 8505081729 11340108972 17010163458 34020326916