Search a number
-
+
9343024128 = 2103219229233
BaseRepresentation
bin10001011001110001…
…10011110000000000
3220010010112210122200
420230320303300000
5123113303233003
64143033233200
7450346252254
oct105470636000
926103483580
109343024128
113a64991349
121988b62800
13b5b863259
14648bc8264
1539a3886a3
hex22ce33c00

9343024128 has 264 divisors, whose sum is σ = 28644080400. Its totient is φ = 2924937216.

The previous prime is 9343024121. The next prime is 9343024157. The reversal of 9343024128 is 8214203439.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 9343024092 and 9343024101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9343024121) 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 23 ways as a sum of consecutive naturals, for example, 40098700 + ... + 40098932.

Almost surely, 29343024128 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 9343024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322040200).

9343024128 is an abundant number, since it is smaller than the sum of its proper divisors (19301056272).

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

9343024128 is a wasteful number, since it uses less digits than its factorization.

9343024128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9343024128 is about 96659.3199231197. The cubic root of 9343024128 is about 2106.1816441135.

The spelling of 9343024128 in words is "nine billion, three hundred forty-three million, twenty-four thousand, one hundred twenty-eight".