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3382948032 = 26317619521
BaseRepresentation
bin1100100110100011…
…1011000011000000
322201202121120021120
43021220323003000
523412013314112
61315404152240
7146555404152
oct31150730300
98652546246
103382948032
111486649a22
127a4b38680
1341bb354c9
1424140cad2
1514bed9e8c
hexc9a3b0c0

3382948032 has 28 divisors (see below), whose sum is σ = 8950717176. Its totient is φ = 1127649280.

The previous prime is 3382948021. The next prime is 3382948039. The reversal of 3382948032 is 2308492833.

It is a super-2 number, since 2×33829480322 = 22888674774425346048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3382948039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8809569 + ... + 8809952.

Almost surely, 23382948032 is an apocalyptic number.

3382948032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3382948032 is an abundant number, since it is smaller than the sum of its proper divisors (5567769144).

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

3382948032 is a wasteful number, since it uses less digits than its factorization.

3382948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17619536 (or 17619526 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3382948032 is about 58163.1157349742. The cubic root of 3382948032 is about 1501.1765631138.

The spelling of 3382948032 in words is "three billion, three hundred eighty-two million, nine hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 17619521 35239042 52858563 70478084 105717126 140956168 211434252 281912336 422868504 563824672 845737008 1127649344 1691474016 3382948032