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3382843552 = 251114964499
BaseRepresentation
bin1100100110100010…
…0001100010100000
322201202102020221221
43021220201202200
523412001443202
61315402024424
7146554460434
oct31150414240
98652366857
103382843552
111486588480
127a4aa8114
1341bac9a9a
142413c29c4
1514beb9037
hexc9a218a0

3382843552 has 48 divisors (see below), whose sum is σ = 7314300000. Its totient is φ = 1527312640.

The previous prime is 3382843531. The next prime is 3382843559. The reversal of 3382843552 is 2553482833.

It is a super-2 number, since 2×33828435522 = 22887260994615953408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3382843499 and 3382843508.

It is not an unprimeable number, because it can be changed into a prime (3382843559) 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 7 ways as a sum of consecutive naturals, for example, 20199 + ... + 84697.

It is an arithmetic number, because the mean of its divisors is an integer number (152381250).

Almost surely, 23382843552 is an apocalyptic number.

3382843552 is a gapful number since it is divisible by the number (32) 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 3382843552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657150000).

3382843552 is an abundant number, since it is smaller than the sum of its proper divisors (3931456448).

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

3382843552 is a wasteful number, since it uses less digits than its factorization.

3382843552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64669 (or 64661 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The square root of 3382843552 is about 58162.2175643261. The cubic root of 3382843552 is about 1501.1611086895.

The spelling of 3382843552 in words is "three billion, three hundred eighty-two million, eight hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 596 1192 1639 2384 3278 4768 6556 13112 26224 52448 64499 128998 257996 515992 709489 1031984 1418978 2063968 2837956 5675912 9610351 11351824 19220702 22703648 38441404 76882808 105713861 153765616 211427722 307531232 422855444 845710888 1691421776 3382843552