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3129282 = 2321343311
BaseRepresentation
bin1011111011111111000010
312212222120100
423323333002
51300114112
6151023230
735412162
oct13737702
95788510
103129282
111848092
12106ab16
13857460
145b65a2
1541c2dc
hex2fbfc2

3129282 has 48 divisors (see below), whose sum is σ = 7495488. Its totient is φ = 937440.

The previous prime is 3129271. The next prime is 3129289. The reversal of 3129282 is 2829213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3129289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9907 + ... + 10217.

It is an arithmetic number, because the mean of its divisors is an integer number (156156).

Almost surely, 23129282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747744).

3129282 is an abundant number, since it is smaller than the sum of its proper divisors (4366206).

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

3129282 is a wasteful number, since it uses less digits than its factorization.

3129282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 372 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3129282 is about 1768.9776708596. The cubic root of 3129282 is about 146.2676332015.

The spelling of 3129282 in words is "three million, one hundred twenty-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 311 387 559 622 774 933 1118 1677 1866 2799 3354 4043 5031 5598 8086 10062 12129 13373 24258 26746 36387 40119 72774 80238 120357 173849 240714 347698 521547 1043094 1564641 3129282