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3332069280 = 253255993863
BaseRepresentation
bin1100011010011011…
…0101011110100000
322121012212122202100
43012212311132200
523311002204110
61310345450400
7145400056461
oct30646653640
98535778670
103332069280
11145a958a71
1278baa0a00
13411430137
14238766d68
151477d9bc0
hexc69b57a0

3332069280 has 144 divisors (see below), whose sum is σ = 11392617600. Its totient is φ = 886838784.

The previous prime is 3332069227. The next prime is 3332069297. The reversal of 3332069280 is 829602333.

3332069280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33320692802 = 22205371373439436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860629 + ... + 864491.

It is an arithmetic number, because the mean of its divisors is an integer number (79115400).

Almost surely, 23332069280 is an apocalyptic number.

3332069280 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 3332069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696308800).

3332069280 is an abundant number, since it is smaller than the sum of its proper divisors (8060548320).

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

3332069280 is a wasteful number, since it uses less digits than its factorization.

3332069280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3332069280 is about 57724.0788579601. The cubic root of 3332069280 is about 1493.6127338253.

The spelling of 3332069280 in words is "three billion, three hundred thirty-two million, sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 599 720 1198 1440 1797 2396 2995 3594 3863 4792 5391 5990 7188 7726 8985 9584 10782 11589 11980 14376 15452 17970 19168 19315 21564 23178 23960 26955 28752 30904 34767 35940 38630 43128 46356 47920 53910 57504 57945 61808 69534 71880 77260 86256 92712 95840 107820 115890 123616 139068 143760 154520 172512 173835 185424 215640 231780 278136 287520 309040 347670 370848 431280 463560 556272 618080 695340 862560 927120 1112544 1390680 1854240 2313937 2781360 4627874 5562720 6941811 9255748 11569685 13883622 18511496 20825433 23139370 27767244 34709055 37022992 41650866 46278740 55534488 69418110 74045984 83301732 92557480 104127165 111068976 138836220 166603464 185114960 208254330 222137952 277672440 333206928 370229920 416508660 555344880 666413856 833017320 1110689760 1666034640 3332069280