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3366003368 = 2371319376577
BaseRepresentation
bin1100100010100001…
…0010001010101000
322200120201200120102
43020220102022220
523343144101433
61314001044532
7146261361620
oct31050221250
98616650512
103366003368
111478026172
1279b326748
13418481990
1423d07b880
1514a78e4e8
hexc8a122a8

3366003368 has 128 divisors (see below), whose sum is σ = 8398790400. Its totient is φ = 1227239424.

The previous prime is 3366003367. The next prime is 3366003401. The reversal of 3366003368 is 8633006633.

It is a happy number.

It is a super-2 number, since 2×33660033682 = 22659957346774686848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (3366003367) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 508496 + ... + 515072.

It is an arithmetic number, because the mean of its divisors is an integer number (65615550).

Almost surely, 23366003368 is an apocalyptic number.

3366003368 is a gapful number since it is divisible by the number (38) 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 3366003368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199395200).

3366003368 is an abundant number, since it is smaller than the sum of its proper divisors (5032787032).

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

3366003368 is a wasteful number, since it uses less digits than its factorization.

3366003368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6659 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 38.

The square root of 3366003368 is about 58017.2678432896. The cubic root of 3366003368 is about 1498.6659795743.

The spelling of 3366003368 in words is "three billion, three hundred sixty-six million, three thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 19 26 28 37 38 52 56 74 76 91 104 133 148 152 182 247 259 266 296 364 481 494 518 532 703 728 962 988 1036 1064 1406 1729 1924 1976 2072 2812 3367 3458 3848 4921 5624 6577 6734 6916 9139 9842 13154 13468 13832 18278 19684 26308 26936 36556 39368 46039 52616 63973 73112 85501 92078 124963 127946 171002 184156 243349 249926 255892 342004 368312 486698 499852 511784 598507 684008 874741 973396 999704 1197014 1624519 1703443 1749482 1946792 2394028 3163537 3249038 3406886 3498964 4623631 4788056 6327074 6498076 6813772 6997928 9247262 11371633 12654148 12996152 13627544 18494524 22144759 22743266 25308296 32365417 36989048 44289518 45486532 60107203 64730834 88579036 90973064 120214406 129461668 177158072 240428812 258923336 420750421 480857624 841500842 1683001684 3366003368