Search a number
-
+
390216144 = 24317334691
BaseRepresentation
bin10111010000100…
…011100111010000
31000012021000220210
4113100203213100
51244343404034
6102415404120
712445532253
oct2720434720
91005230823
10390216144
111902a318a
12aa823640
1362ac7236
1439b7909a
15243ce8e9
hex174239d0

390216144 has 40 divisors (see below), whose sum is σ = 1008855072. Its totient is φ = 129969280.

The previous prime is 390216143. The next prime is 390216149. The reversal of 390216144 is 441612093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390216143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80839 + ... + 85529.

Almost surely, 2390216144 is an apocalyptic number.

It is an amenable number.

390216144 is an abundant number, since it is smaller than the sum of its proper divisors (618638928).

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

390216144 is a wasteful number, since it uses less digits than its factorization.

390216144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 390216144 is about 19753.8893385581. The cubic root of 390216144 is about 730.7493050517.

The spelling of 390216144 in words is "three hundred ninety million, two hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1733 3466 4691 5199 6932 9382 10398 13864 14073 18764 20796 27728 28146 37528 41592 56292 75056 83184 112584 225168 8129503 16259006 24388509 32518012 48777018 65036024 97554036 130072048 195108072 390216144