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3350044344 = 2331743257743
BaseRepresentation
bin1100011110101101…
…1001111010111000
322122110200212220110
43013223121322320
523330102404334
61312231024320
7146005623063
oct30753317270
98573625813
103350044344
11146a015999
12795b0b0a0
1341508497a
1423acc58da
1514918aae9
hexc7ad9eb8

3350044344 has 128 divisors (see below), whose sum is σ = 9121559040. Its totient is φ = 1021181952.

The previous prime is 3350044307. The next prime is 3350044349. The reversal of 3350044344 is 4434400533.

It is a super-2 number, since 2×33500443442 = 22445594213532780672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3350044349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4508437 + ... + 4509179.

It is an arithmetic number, because the mean of its divisors is an integer number (71262180).

Almost surely, 23350044344 is an apocalyptic number.

3350044344 is a gapful number since it is divisible by the number (34) 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 3350044344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560779520).

3350044344 is an abundant number, since it is smaller than the sum of its proper divisors (5771514696).

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

3350044344 is a wasteful number, since it uses less digits than its factorization.

3350044344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 3350044344 is about 57879.5675864981. The cubic root of 3350044344 is about 1496.2937156243.

Adding to 3350044344 its reverse (4434400533), we get a palindrome (7784444877).

The spelling of 3350044344 in words is "three billion, three hundred fifty million, forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 257 258 344 408 514 516 731 743 771 1028 1032 1462 1486 1542 2056 2193 2229 2924 2972 3084 4369 4386 4458 5848 5944 6168 8738 8772 8916 11051 12631 13107 17476 17544 17832 22102 25262 26214 31949 33153 34952 37893 44204 50524 52428 63898 66306 75786 88408 95847 101048 104856 127796 132612 151572 187867 190951 191694 255592 265224 303144 375734 381902 383388 543133 563601 572853 751468 763804 766776 1086266 1127202 1145706 1502936 1527608 1629399 2172532 2254404 2291412 3246167 3258798 4345064 4508808 4582824 6492334 6517596 8210893 9738501 12984668 13035192 16421786 19477002 24632679 25969336 32843572 38954004 49265358 65687144 77908008 98530716 139585181 197061432 279170362 418755543 558340724 837511086 1116681448 1675022172 3350044344