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4434704304 = 2437110191277
BaseRepresentation
bin1000010000101010…
…00011011110110000
3102110001200022122120
410020111003132300
533040241014204
62012015034240
7214616236032
oct41025033660
912401608576
104434704304
111976302a88
12a3920b980
135589c42b4
14300d8dc52
151ae4e16d9
hex1085437b0

4434704304 has 80 divisors (see below), whose sum is σ = 11638183680. Its totient is φ = 1454844160.

The previous prime is 4434704299. The next prime is 4434704327. The reversal of 4434704304 is 4034074344.

It is a super-2 number, since 2×44347043042 = 39333204527832248832, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3472114 + ... + 3473390.

It is an arithmetic number, because the mean of its divisors is an integer number (145477296).

Almost surely, 24434704304 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 4434704304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819091840).

4434704304 is an abundant number, since it is smaller than the sum of its proper divisors (7203479376).

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

4434704304 is a wasteful number, since it uses less digits than its factorization.

4434704304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The square root of 4434704304 is about 66593.5755459939. The cubic root of 4434704304 is about 1642.9394418298.

Adding to 4434704304 its reverse (4034074344), we get a palindrome (8468778648).

The spelling of 4434704304 in words is "four billion, four hundred thirty-four million, seven hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1019 1136 1277 1704 2038 2554 3057 3408 3831 4076 5108 6114 7662 8152 10216 12228 15324 16304 20432 24456 30648 48912 61296 72349 90667 144698 181334 217047 272001 289396 362668 434094 544002 578792 725336 868188 1088004 1157584 1301263 1450672 1736376 2176008 2602526 3472752 3903789 4352016 5205052 7807578 10410104 15615156 20820208 31230312 62460624 92389673 184779346 277169019 369558692 554338038 739117384 1108676076 1478234768 2217352152 4434704304