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8380333 = 132922229
BaseRepresentation
bin11111111101111110101101
3120202202122201
4133331332231
54121132313
6455341501
7131142313
oct37757655
916682581
108380333
1148042a5
122981891
1319755a0
1411820b3
15b080dd
hex7fdfad

8380333 has 8 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 7468608.

The previous prime is 8380321. The next prime is 8380357. The reversal of 8380333 is 3330838.

It can be written as a sum of positive squares in 4 ways, for example, as 68644 + 8311689 = 262^2 + 2883^2 .

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 8380333 - 29 = 8379821 is a prime.

8380333 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8380373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10738 + ... + 11491.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 28380333 is an apocalyptic number.

It is an amenable number.

8380333 is a deficient number, since it is larger than the sum of its proper divisors (956267).

8380333 is a wasteful number, since it uses less digits than its factorization.

8380333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22271.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 8380333 is about 2894.8804811253. The cubic root of 8380333 is about 203.1205008234.

The spelling of 8380333 in words is "eight million, three hundred eighty thousand, three hundred thirty-three".

Divisors: 1 13 29 377 22229 288977 644641 8380333