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33342001 = 73118837
BaseRepresentation
bin111111100110…
…0001000110001
32022201221121221
41333030020301
532013421001
63150345041
7553255000
oct177141061
968657557
1033342001
1117903380
12b1bb181
136ba51c4
1445dcc37
152dd91a1
hex1fcc231

33342001 has 16 divisors (see below), whose sum is σ = 42422400. Its totient is φ = 25977840.

The previous prime is 33341993. The next prime is 33342007. The reversal of 33342001 is 10024333.

33342001 = 17362 + 17372 + ... + 17462.

It is not a de Polignac number, because 33342001 - 23 = 33341993 is a prime.

It is a super-2 number, since 2×333420012 = 2223378061368002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33342007) 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, 646 + ... + 8191.

It is an arithmetic number, because the mean of its divisors is an integer number (2651400).

Almost surely, 233342001 is an apocalyptic number.

It is an amenable number.

33342001 is a deficient number, since it is larger than the sum of its proper divisors (9080399).

33342001 is an equidigital number, since it uses as much as digits as its factorization.

33342001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33342001 is about 5774.2532850577. The cubic root of 33342001 is about 321.8576875849.

Adding to 33342001 its reverse (10024333), we get a palindrome (43366334).

It can be divided in two parts, 3334 and 2001, that added together give a palindrome (5335).

The spelling of 33342001 in words is "thirty-three million, three hundred forty-two thousand, one".

Divisors: 1 7 11 49 77 343 539 3773 8837 61859 97207 433013 680449 3031091 4763143 33342001