Search a number
-
+
393146208 = 253272132143
BaseRepresentation
bin10111011011101…
…110111101100000
31000101202220012200
4113123232331200
51301121134313
6103002253200
712512454600
oct2733567540
91011686180
10393146208
11191a14624
12ab7b7200
13635b1ac0
143a2dcc00
15247acb73
hex176eef60

393146208 has 216 divisors, whose sum is σ = 1401236928. Its totient is φ = 103638528.

The previous prime is 393146207. The next prime is 393146213. The reversal of 393146208 is 802641393.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393146207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182385 + ... + 184527.

It is an arithmetic number, because the mean of its divisors is an integer number (6487208).

Almost surely, 2393146208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393146208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700618464).

393146208 is an abundant number, since it is smaller than the sum of its proper divisors (1008090720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393146208 is a wasteful number, since it uses less digits than its factorization.

393146208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 393146208 is about 19827.9148676809. The cubic root of 393146208 is about 732.5737685417.

The spelling of 393146208 in words is "three hundred ninety-three million, one hundred forty-six thousand, two hundred eight".