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3142208 = 26291693
BaseRepresentation
bin1011111111001001000000
312220122022002
423333021000
51301022313
6151203132
735464646
oct13771100
95818262
103142208
111856873
1210764a8
138602c4
145bb196
15421058
hex2ff240

3142208 has 28 divisors (see below), whose sum is σ = 6454140. Its totient is φ = 1516032.

The previous prime is 3142193. The next prime is 3142219. The reversal of 3142208 is 8022413.

3142208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1420864 + 1721344 = 1192^2 + 1312^2 .

It is a super-2 number, since 2×31422082 = 19746942230528, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3142208.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1010 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (230505).

Almost surely, 23142208 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 3142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227070).

3142208 is an abundant number, since it is smaller than the sum of its proper divisors (3311932).

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

3142208 is a wasteful number, since it uses less digits than its factorization.

3142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3142208 is about 1772.6274284237. The cubic root of 3142208 is about 146.4687504936.

It can be divided in two parts, 3 and 142208, that multiplied together give a palindrome (426624).

The spelling of 3142208 in words is "three million, one hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1693 1856 3386 6772 13544 27088 49097 54176 98194 108352 196388 392776 785552 1571104 3142208