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3339983340 = 2232537659761
BaseRepresentation
bin1100011100010100…
…0001100111101100
322121202202201210200
43013011001213230
523320013431330
61311231233500
7145524250521
oct30705014754
98552681720
103339983340
111464373a11
12792678890
13412c71405
14239827148
1514834ea60
hexc71419ec

3339983340 has 144 divisors (see below), whose sum is σ = 10434584160. Its totient is φ = 864138240.

The previous prime is 3339983321. The next prime is 3339983347. The reversal of 3339983340 is 433899333.

It is a super-2 number, since 2×33399833402 = 22310977422955111200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3339983347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4388560 + ... + 4389320.

It is an arithmetic number, because the mean of its divisors is an integer number (72462390).

Almost surely, 23339983340 is an apocalyptic number.

3339983340 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 3339983340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217292080).

3339983340 is an abundant number, since it is smaller than the sum of its proper divisors (7094600820).

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

3339983340 is a wasteful number, since it uses less digits than its factorization.

3339983340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 3339983340 is about 57792.5889712513. The cubic root of 3339983340 is about 1494.7943013672.

The spelling of 3339983340 in words is "three billion, three hundred thirty-nine million, nine hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 659 666 740 761 1110 1318 1332 1522 1665 1977 2220 2283 2636 3044 3295 3330 3805 3954 4566 5931 6590 6660 6849 7610 7908 9132 9885 11415 11862 13180 13698 15220 19770 22830 23724 24383 27396 28157 29655 34245 39540 45660 48766 56314 59310 68490 73149 84471 97532 112628 118620 121915 136980 140785 146298 168942 219447 243830 253413 281570 292596 337884 365745 422355 438894 487660 501499 506826 563140 731490 844710 877788 1002998 1013652 1097235 1267065 1462980 1504497 1689420 2005996 2194470 2507495 2534130 3008994 4388940 4513491 5014990 5068260 6017988 7522485 9026982 10029980 15044970 18053964 18555463 22567455 30089940 37110926 45134910 55666389 74221852 90269820 92777315 111332778 166999167 185554630 222665556 278331945 333998334 371109260 556663890 667996668 834995835 1113327780 1669991670 3339983340