Search a number
-
+
393393 = 371113131
BaseRepresentation
bin1100000000010110001
3201222122010
41200002301
5100042033
612233133
73225630
oct1400261
9658563
10393393
11249620
1216b7a9
1310a0a0
14a3517
157b863
hex600b1

393393 has 32 divisors (see below), whose sum is σ = 709632. Its totient is φ = 187200.

The previous prime is 393383. The next prime is 393401.

393393 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 393393 - 24 = 393377 is a prime.

393393 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 393393.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393393.

It is not an unprimeable number, because it can be changed into a prime (393373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2938 + ... + 3068.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2393393 is an apocalyptic number.

393393 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

393393 is a deficient number, since it is larger than the sum of its proper divisors (316239).

393393 is a wasteful number, since it uses less digits than its factorization.

393393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

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

The square root of 393393 is about 627.2104909837. The cubic root of 393393 is about 73.2727024103.

The spelling of 393393 in words is "three hundred ninety-three thousand, three hundred ninety-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 131 143 231 273 393 429 917 1001 1441 1703 2751 3003 4323 5109 10087 11921 18733 30261 35763 56199 131131 393393