Search a number
-
+
33540337 = 174148121
BaseRepresentation
bin111111111110…
…0100011110001
32100010000200201
41333330203301
532041242322
63154515201
7555042145
oct177744361
970100621
1033540337
1117a29396
12b295b01
136c4456c
144651225
152e27d27
hex1ffc8f1

33540337 has 8 divisors (see below), whose sum is σ = 36380232. Its totient is φ = 30796800.

The previous prime is 33540317. The next prime is 33540343. The reversal of 33540337 is 73304533.

It can be written as a sum of positive squares in 4 ways, for example, as 4477456 + 29062881 = 2116^2 + 5391^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33540337 - 27 = 33540209 is a prime.

It is a super-2 number, since 2×335403372 = 2249908412147138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33540307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23364 + ... + 24757.

It is an arithmetic number, because the mean of its divisors is an integer number (4547529).

Almost surely, 233540337 is an apocalyptic number.

It is an amenable number.

33540337 is a deficient number, since it is larger than the sum of its proper divisors (2839895).

33540337 is a wasteful number, since it uses less digits than its factorization.

33540337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48179.

The product of its (nonzero) digits is 11340, while the sum is 28.

The square root of 33540337 is about 5791.4019891560. The cubic root of 33540337 is about 322.4946200252.

The spelling of 33540337 in words is "thirty-three million, five hundred forty thousand, three hundred thirty-seven".

Divisors: 1 17 41 697 48121 818057 1972961 33540337