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3385283824 = 241331525013
BaseRepresentation
bin1100100111000111…
…0101010011110000
322201221000020101101
43021301311103300
523413113040244
61315530214144
7146614303066
oct31161652360
98657006341
103385283824
1114879a492a
127a5884354
1341c472730
1424185a036
1514c2ec0d4
hexc9c754f0

3385283824 has 40 divisors (see below), whose sum is σ = 7291394432. Its totient is φ = 1512034560.

The previous prime is 3385283821. The next prime is 3385283843. The reversal of 3385283824 is 4283825833.

3385283824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33852838242 = 22920293138072125952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385283821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256059 + ... + 268954.

Almost surely, 23385283824 is an apocalyptic number.

It is an amenable number.

3385283824 is an abundant number, since it is smaller than the sum of its proper divisors (3906110608).

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

3385283824 is a wasteful number, since it uses less digits than its factorization.

3385283824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525065 (or 525059 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The square root of 3385283824 is about 58183.1919371909. The cubic root of 3385283824 is about 1501.5219846676.

The spelling of 3385283824 in words is "three billion, three hundred eighty-five million, two hundred eighty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 525013 1050026 2100052 4200104 6825169 8400208 13650338 16275403 27300676 32550806 54601352 65101612 109202704 130203224 211580239 260406448 423160478 846320956 1692641912 3385283824