Search a number
-
+
9348381408 = 25397378973
BaseRepresentation
bin10001011010011010…
…01111101011100000
3220010111121222110110
420231031033223200
5123121141201113
64143344131320
7450442634202
oct105515175340
926114558413
109348381408
113a67a10353
12198a906b40
13b5c9ba842
146497c0772
1539aa95bc3
hex22d34fae0

9348381408 has 24 divisors (see below), whose sum is σ = 24539501448. Its totient is φ = 3116127104.

The previous prime is 9348381397. The next prime is 9348381431. The reversal of 9348381408 is 8041838439.

9348381408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 48689391 + ... + 48689582.

It is an arithmetic number, because the mean of its divisors is an integer number (1022479227).

Almost surely, 29348381408 is an apocalyptic number.

It is an amenable number.

9348381408 is an abundant number, since it is smaller than the sum of its proper divisors (15191120040).

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

9348381408 is a wasteful number, since it uses less digits than its factorization.

9348381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97378986 (or 97378978 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 9348381408 is about 96687.0281268382. The cubic root of 9348381408 is about 2106.5841279596.

The spelling of 9348381408 in words is "nine billion, three hundred forty-eight million, three hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97378973 194757946 292136919 389515892 584273838 779031784 1168547676 1558063568 2337095352 3116127136 4674190704 9348381408