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3306296 = 2371723151
BaseRepresentation
bin1100100111001100111000
320012222101102
430213030320
51321300141
6154510532
740050230
oct14471470
96188342
103306296
111959084
121135448
138b9bb6
14620cc0
1545499b
hex327338

3306296 has 64 divisors (see below), whose sum is σ = 7879680. Its totient is φ = 1267200.

The previous prime is 3306293. The next prime is 3306341. The reversal of 3306296 is 6926033.

3306296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306293) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21821 + ... + 21971.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

Almost surely, 23306296 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 3306296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939840).

3306296 is an abundant number, since it is smaller than the sum of its proper divisors (4573384).

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

3306296 is a wasteful number, since it uses less digits than its factorization.

3306296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 3306296 is about 1818.3223036635. The cubic root of 3306296 is about 148.9751771630.

The spelling of 3306296 in words is "three million, three hundred six thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 151 161 184 238 302 322 391 476 604 644 782 952 1057 1208 1288 1564 2114 2567 2737 3128 3473 4228 5134 5474 6946 8456 10268 10948 13892 17969 20536 21896 24311 27784 35938 48622 59041 71876 97244 118082 143752 194488 236164 413287 472328 826574 1653148 3306296