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12033297 = 321778649
BaseRepresentation
bin101101111001…
…110100010001
3211122100120200
4231321310101
511040031142
61105525413
7204165333
oct55716421
924570520
1012033297
116879881
124043869
1326541c3
141853453
1510ca64c
hexb79d11

12033297 has 12 divisors (see below), whose sum is σ = 18404100. Its totient is φ = 7550208.

The previous prime is 12033277. The next prime is 12033299. The reversal of 12033297 is 79233021.

12033297 is digitally balanced in base 3, 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 6230016 + 5803281 = 2496^2 + 2409^2 .

It is not a de Polignac number, because 12033297 - 26 = 12033233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12033297.

It is not an unprimeable number, because it can be changed into a prime (12033299) 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 11 ways as a sum of consecutive naturals, for example, 39172 + ... + 39477.

It is an arithmetic number, because the mean of its divisors is an integer number (1533675).

Almost surely, 212033297 is an apocalyptic number.

12033297 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12033297 is a deficient number, since it is larger than the sum of its proper divisors (6370803).

12033297 is a wasteful number, since it uses less digits than its factorization.

12033297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78672 (or 78669 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 12033297 is about 3468.9042938657. The cubic root of 12033297 is about 229.1544060144.

It can be divided in two parts, 12033 and 297, that multiplied together give a triangular number (3573801 = T2673).

The spelling of 12033297 in words is "twelve million, thirty-three thousand, two hundred ninety-seven".

Divisors: 1 3 9 17 51 153 78649 235947 707841 1337033 4011099 12033297