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3324324480 = 27352716389
BaseRepresentation
bin1100011000100101…
…0010101010000000
322120200022011212220
43012021102222000
523302011340410
61305511451040
7145244202051
oct30611225200
98520264786
103324324480
111456549204
12789386a80
1340c94ac09
1423770c728
15146caa070
hexc6252a80

3324324480 has 128 divisors (see below), whose sum is σ = 10637049600. Its totient is φ = 883077120.

The previous prime is 3324324473. The next prime is 3324324511. The reversal of 3324324480 is 844234233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33243244802 = 22102266496654540800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517126 + ... + 523514.

It is an arithmetic number, because the mean of its divisors is an integer number (83101950).

Almost surely, 23324324480 is an apocalyptic number.

3324324480 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 3324324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318524800).

3324324480 is an abundant number, since it is smaller than the sum of its proper divisors (7312725120).

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

3324324480 is a wasteful number, since it uses less digits than its factorization.

3324324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 3324324480 is about 57656.9551745494. The cubic root of 3324324480 is about 1492.4546240648.

The spelling of 3324324480 in words is "three billion, three hundred twenty-four million, three hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 271 320 384 480 542 640 813 960 1084 1355 1626 1920 2168 2710 3252 4065 4336 5420 6389 6504 8130 8672 10840 12778 13008 16260 17344 19167 21680 25556 26016 31945 32520 34688 38334 43360 51112 52032 63890 65040 76668 86720 95835 102224 104064 127780 130080 153336 173440 191670 204448 255560 260160 306672 383340 408896 511120 520320 613344 766680 817792 1022240 1226688 1533360 1731419 2044480 2453376 3066720 3462838 4088960 5194257 6133440 6925676 8657095 10388514 12266880 13851352 17314190 20777028 25971285 27702704 34628380 41554056 51942570 55405408 69256760 83108112 103885140 110810816 138513520 166216224 207770280 221621632 277027040 332432448 415540560 554054080 664864896 831081120 1108108160 1662162240 3324324480