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3388330848 = 253710348953
BaseRepresentation
bin1100100111110101…
…1101001101100000
322202010202001010010
43021331131031200
523414403041343
61320115404520
7146652223410
oct31175351540
98663661103
103388330848
111489696131
127a68b3740
1341cc9b5c6
14242010640
1514c6eed33
hexc9f5d360

3388330848 has 96 divisors (see below), whose sum is σ = 10263891456. Its totient is φ = 958675968.

The previous prime is 3388330831. The next prime is 3388330849. The reversal of 3388330848 is 8480338833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33883308482 = 22961571871016798208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3388330797 and 3388330806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388330849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44740 + ... + 93692.

It is an arithmetic number, because the mean of its divisors is an integer number (106915536).

Almost surely, 23388330848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388330848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131945728).

3388330848 is an abundant number, since it is smaller than the sum of its proper divisors (6875560608).

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

3388330848 is a wasteful number, since it uses less digits than its factorization.

3388330848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49076 (or 49068 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 3388330848 is about 58209.3707919953. The cubic root of 3388330848 is about 1501.9723458756.

The spelling of 3388330848 in words is "three billion, three hundred eighty-eight million, three hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 1236 1442 1648 2163 2472 2884 3296 4326 4944 5768 8652 9888 11536 17304 23072 34608 48953 69216 97906 146859 195812 293718 342671 391624 587436 685342 783248 1028013 1174872 1370684 1566496 2056026 2349744 2741368 4112052 4699488 5042159 5482736 8224104 10084318 10965472 15126477 16448208 20168636 30252954 32896416 35295113 40337272 60505908 70590226 80674544 105885339 121011816 141180452 161349088 211770678 242023632 282360904 423541356 484047264 564721808 847082712 1129443616 1694165424 3388330848