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3382128 = 24337829
BaseRepresentation
bin1100111001101101110000
320100211102000
430321231300
51331212003
6200254000
740514301
oct14715560
96324360
103382128
111a00052
121171300
13915579
146407a8
1546c1a3
hex339b70

3382128 has 40 divisors (see below), whose sum is σ = 9709200. Its totient is φ = 1127232.

The previous prime is 3382123. The next prime is 3382129. The reversal of 3382128 is 8212833.

It is a super-2 number, since 2×33821282 = 22877579616768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382123) 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, 3483 + ... + 4346.

It is an arithmetic number, because the mean of its divisors is an integer number (242730).

Almost surely, 23382128 is an apocalyptic number.

It is an amenable number.

3382128 is an abundant number, since it is smaller than the sum of its proper divisors (6327072).

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

3382128 is a wasteful number, since it uses less digits than its factorization.

3382128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846 (or 7834 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3382128 is about 1839.0562797261. The cubic root of 3382128 is about 150.1055257447.

The spelling of 3382128 in words is "three million, three hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 7829 15658 23487 31316 46974 62632 70461 93948 125264 140922 187896 211383 281844 375792 422766 563688 845532 1127376 1691064 3382128