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393000393 = 31011319901
BaseRepresentation
bin10111011011001…
…011010111001001
31000101111111012010
4113123023113021
51301102003033
6102555210133
712511306512
oct2733132711
91011444163
10393000393
11191925015
12ab746949
1363560616
143a2a1a09
152477e863
hex176cb5c9

393000393 has 16 divisors (see below), whose sum is σ = 533282112. Its totient is φ = 257400000.

The previous prime is 393000341. The next prime is 393000403.

393000393 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 393000393 - 221 = 390903241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 393000393.

It is not an unprimeable number, because it can be changed into a prime (393070393) 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 15 ways as a sum of consecutive naturals, for example, 34743 + ... + 44643.

It is an arithmetic number, because the mean of its divisors is an integer number (33330132).

Almost surely, 2393000393 is an apocalyptic number.

It is an amenable number.

393000393 is a deficient number, since it is larger than the sum of its proper divisors (140281719).

393000393 is a wasteful number, since it uses less digits than its factorization.

393000393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136.

The product of its (nonzero) digits is 6561, while the sum is 30.

The square root of 393000393 is about 19824.2375137103. The cubic root of 393000393 is about 732.4831886243.

It can be divided in two parts, 393000 and 393, that added together give a palindrome (393393).

The spelling of 393000393 in words is "three hundred ninety-three million, three hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 101 131 303 393 9901 13231 29703 39693 1000001 1297031 3000003 3891093 131000131 393000393