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3106728 = 233319757
BaseRepresentation
bin1011110110011110101000
312211211122000
423312132220
51243403403
6150331000
735256342
oct13663650
95754560
103106728
111832149
121059a60
1384a101
145ac292
154157a3
hex2f67a8

3106728 has 64 divisors (see below), whose sum is σ = 9096000. Its totient is φ = 979776.

The previous prime is 3106703. The next prime is 3106729. The reversal of 3106728 is 8276013.

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

It is not an unprimeable number, because it can be changed into a prime (3106729) 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 15 ways as a sum of consecutive naturals, for example, 3726 + ... + 4482.

It is an arithmetic number, because the mean of its divisors is an integer number (142125).

Almost surely, 23106728 is an apocalyptic number.

3106728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3106728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548000).

3106728 is an abundant number, since it is smaller than the sum of its proper divisors (5989272).

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

3106728 is a wasteful number, since it uses less digits than its factorization.

3106728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3106728 is about 1762.5912742323. The cubic root of 3106728 is about 145.9153822552.

The spelling of 3106728 in words is "three million, one hundred six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 757 1026 1368 1514 2052 2271 3028 4104 4542 6056 6813 9084 13626 14383 18168 20439 27252 28766 40878 43149 54504 57532 81756 86298 115064 129447 163512 172596 258894 345192 388341 517788 776682 1035576 1553364 3106728