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3305928 = 2332353113
BaseRepresentation
bin1100100111000111001000
320012221212210
430213013020
51321242203
6154505120
740046163
oct14470710
96187783
103305928
11195887a
1211351a0
138b9992
14620ada
15454803
hex3271c8

3305928 has 64 divisors (see below), whose sum is σ = 8864640. Its totient is φ = 1025024.

The previous prime is 3305927. The next prime is 3305941. The reversal of 3305928 is 8295033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3305895 and 3305904.

It is not an unprimeable number, because it can be changed into a prime (3305923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29200 + ... + 29312.

It is an arithmetic number, because the mean of its divisors is an integer number (138510).

Almost surely, 23305928 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 3305928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432320).

3305928 is an abundant number, since it is smaller than the sum of its proper divisors (5558712).

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

3305928 is a wasteful number, since it uses less digits than its factorization.

3305928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3305928 is about 1818.2211086664. The cubic root of 3305928 is about 148.9696498398.

The spelling of 3305928 in words is "three million, three hundred five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 113 138 159 184 212 226 276 318 339 424 452 552 636 678 904 1219 1272 1356 2438 2599 2712 3657 4876 5198 5989 7314 7797 9752 10396 11978 14628 15594 17967 20792 23956 29256 31188 35934 47912 62376 71868 137747 143736 275494 413241 550988 826482 1101976 1652964 3305928