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34420030000 = 24547614523
BaseRepresentation
bin100000000011100101…
…111111101000110000
310021211210100200122221
4200003211333220300
51030443011430000
623451244410424
72325650266456
oct400345775060
9107753320587
1034420030000
1113663233a94
126807246a14
13332701c075
1419474989d6
15d66bbc61a
hex80397fa30

34420030000 has 100 divisors (see below), whose sum is σ = 83462289768. Its totient is φ = 13746880000.

The previous prime is 34420029991. The next prime is 34420030009. The reversal of 34420030000 is 3002443.

It is an interprime number because it is at equal distance from previous prime (34420029991) and next prime (34420030009).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (34420030009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7607739 + ... + 7612261.

Almost surely, 234420030000 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 34420030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731144884).

34420030000 is an abundant number, since it is smaller than the sum of its proper divisors (49042259768).

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

34420030000 is an equidigital number, since it uses as much as digits as its factorization.

34420030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 34420030000 its reverse (3002443), we get a palindrome (34423032443).

The spelling of 34420030000 in words is "thirty-four billion, four hundred twenty million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 761 1000 1250 1522 2000 2500 3044 3805 4523 5000 6088 7610 9046 10000 12176 15220 18092 19025 22615 30440 36184 38050 45230 60880 72368 76100 90460 95125 113075 152200 180920 190250 226150 304400 361840 380500 452300 475625 565375 761000 904600 951250 1130750 1522000 1809200 1902500 2261500 2826875 3442003 3805000 4523000 5653750 6884006 7610000 9046000 11307500 13768012 17210015 22615000 27536024 34420030 45230000 55072048 68840060 86050075 137680120 172100150 275360240 344200300 430250375 688400600 860500750 1376801200 1721001500 2151251875 3442003000 4302503750 6884006000 8605007500 17210015000 34420030000