Search a number
-
+
34223343300 = 223252166722811
BaseRepresentation
bin11111110111110111…
…101100011011000100
310021100002020222020100
4133313313230123010
51030042133441200
623415541004100
72321041422036
oct376767543304
9107302228210
1034223343300
11135722043a3
1267713b3630
1332c5354bc3
1419292d9c56
15d547b9d00
hex7f7dec6c4

34223343300 has 108 divisors (see below), whose sum is σ = 107340223536. Its totient is φ = 9120350400.

The previous prime is 34223343257. The next prime is 34223343367. The reversal of 34223343300 is 334332243.

34223343300 is a `hidden beast` number, since 3 + 4 + 22 + 334 + 3 + 300 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1488895 + ... + 1511705.

Almost surely, 234223343300 is an apocalyptic number.

34223343300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34223343300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53670111768).

34223343300 is an abundant number, since it is smaller than the sum of its proper divisors (73116880236).

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

34223343300 is a wasteful number, since it uses less digits than its factorization.

34223343300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24498 (or 24488 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 34223343300 its reverse (334332243), we get a palindrome (34557675543).

The spelling of 34223343300 in words is "thirty-four billion, two hundred twenty-three million, three hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1667 3334 5001 6668 8335 10002 15003 16670 20004 22811 25005 30006 33340 41675 45622 50010 60012 68433 75015 83350 91244 100020 114055 125025 136866 150030 166700 205299 228110 250050 273732 300060 342165 375075 410598 456220 500100 570275 684330 750150 821196 1026495 1140550 1368660 1500300 1710825 2052990 2281100 3421650 4105980 5132475 6843300 10264950 20529900 38025937 76051874 114077811 152103748 190129685 228155622 342233433 380259370 456311244 570389055 684466866 760518740 950648425 1140778110 1368933732 1711167165 1901296850 2281556220 2851945275 3422334330 3802593700 5703890550 6844668660 8555835825 11407781100 17111671650 34223343300