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449000034 = 23731072039
BaseRepresentation
bin11010110000110…
…011001001100010
31011021212120020220
4122300303021202
51404421000114
6112315343510
714061303000
oct3260631142
91137776226
10449000034
112104a340a
12106451b96
13720397c2
14438bba70
15296420a9
hex1ac33262

449000034 has 64 divisors (see below), whose sum is σ = 1057536000. Its totient is φ = 127024464.

The previous prime is 449000033. The next prime is 449000081. The reversal of 449000034 is 430000944.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 448999968 and 449000013.

It is not an unprimeable number, because it can be changed into a prime (449000033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 219187 + ... + 221225.

It is an arithmetic number, because the mean of its divisors is an integer number (16524000).

Almost surely, 2449000034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449000034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768000).

449000034 is an abundant number, since it is smaller than the sum of its proper divisors (608535966).

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

449000034 is a wasteful number, since it uses less digits than its factorization.

449000034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 449000034 is about 21189.6209026967. The cubic root of 449000034 is about 765.7413941138.

Adding to 449000034 its reverse (430000944), we get a palindrome (879000978).

The spelling of 449000034 in words is "four hundred forty-nine million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 49 98 107 147 214 294 321 343 642 686 749 1029 1498 2039 2058 2247 4078 4494 5243 6117 10486 12234 14273 15729 28546 31458 36701 42819 73402 85638 99911 110103 199822 218173 220206 299733 436346 599466 654519 699377 1309038 1398754 1527211 2098131 3054422 4196262 4581633 9163266 10690477 21380954 32071431 64142862 74833339 149666678 224500017 449000034