Search a number
-
+
12408384348 = 2232344677343
BaseRepresentation
bin10111000111001100…
…01110101101011100
31012000202120020100200
423203212032231130
5200403021244343
65411134423500
7616330345443
oct134346165534
935022506320
1012408384348
1152982338a8
1224a3661b90
131229950479
14859d65d5a
154c953d4d3
hex2e398eb5c

12408384348 has 18 divisors (see below), whose sum is σ = 31365638304. Its totient is φ = 4136128104.

The previous prime is 12408384347. The next prime is 12408384419. The reversal of 12408384348 is 84348380421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12408384347) 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 5 ways as a sum of consecutive naturals, for example, 172338636 + ... + 172338707.

Almost surely, 212408384348 is an apocalyptic number.

12408384348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12408384348 is an abundant number, since it is smaller than the sum of its proper divisors (18957253956).

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

12408384348 is a wasteful number, since it uses less digits than its factorization.

12408384348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344677353 (or 344677348 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 12408384348 in words is "twelve billion, four hundred eight million, three hundred eighty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 344677343 689354686 1034032029 1378709372 2068064058 3102096087 4136128116 6204192174 12408384348