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3142832 = 247112551
BaseRepresentation
bin1011111111010010110000
312220200011012
423333102300
51301032312
6151210052
735466530
oct13772260
95820135
103142832
111857290
121076928
13860684
145bb4c0
15421322
hex2ff4b0

3142832 has 40 divisors (see below), whose sum is σ = 7594752. Its totient is φ = 1224000.

The previous prime is 3142831. The next prime is 3142837. The reversal of 3142832 is 2382413.

It is a junction number, because it is equal to n+sod(n) for n = 3142798 and 3142807.

It is not an unprimeable number, because it can be changed into a prime (3142831) 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 7 ways as a sum of consecutive naturals, for example, 44 + ... + 2507.

Almost surely, 23142832 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 3142832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797376).

3142832 is an abundant number, since it is smaller than the sum of its proper divisors (4451920).

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

3142832 is a wasteful number, since it uses less digits than its factorization.

3142832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2571 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 3142832 is about 1772.8034295996. The cubic root of 3142832 is about 146.4784454227.

The spelling of 3142832 in words is "three million, one hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 2551 5102 10204 17857 20408 28061 35714 40816 56122 71428 112244 142856 196427 224488 285712 392854 448976 785708 1571416 3142832