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34440000300 = 22325238266667
BaseRepresentation
bin100000000100110010…
…001011001100101100
310021220011221021202200
4200010302023030230
51031013120002200
623453240421500
72326312113066
oct400462131454
9107804837680
1034440000300
1113673533a72
126811a77890
13332b1c1b04
141949db6736
15d68814800
hex804c8b32c

34440000300 has 54 divisors (see below), whose sum is σ = 107950270428. Its totient is φ = 9183999840.

The previous prime is 34440000289. The next prime is 34440000319. The reversal of 34440000300 is 300004443.

It is a super-2 number, since 2×344400003002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19132434 + ... + 19134233.

It is an arithmetic number, because the mean of its divisors is an integer number (1999079082).

Almost surely, 234440000300 is an apocalyptic number.

34440000300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34440000300 is an abundant number, since it is smaller than the sum of its proper divisors (73510270128).

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

34440000300 is a wasteful number, since it uses less digits than its factorization.

34440000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38266687 (or 38266677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 34440000300 its reverse (300004443), we get a palindrome (34740004743).

The spelling of 34440000300 in words is "thirty-four billion, four hundred forty million, three hundred", and thus it is an aban number.

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 38266667 76533334 114800001 153066668 191333335 229600002 344400003 382666670 459200004 574000005 688800006 765333340 956666675 1148000010 1377600012 1722000015 1913333350 2296000020 2870000025 3444000030 3826666700 5740000050 6888000060 8610000075 11480000100 17220000150 34440000300