Search a number
-
+
9300249144 = 233343056709
BaseRepresentation
bin10001010100101011…
…01000101000111000
3220000011001121102000
420222111220220320
5123021330433034
64134504341000
7446316545664
oct105225505070
926004047360
109300249144
113a4282591a
121976774760
13b52a37604
146432518a4
15396739599
hex22a568a38

9300249144 has 32 divisors (see below), whose sum is σ = 25834026000. Its totient is φ = 3100082976.

The previous prime is 9300249131. The next prime is 9300249149. The reversal of 9300249144 is 4419420039.

It is a super-3 number, since 3×93002491443 (a number of 31 digits) contains 333 as substring.

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 = 9300249099 and 9300249108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9300249149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21528139 + ... + 21528570.

Almost surely, 29300249144 is an apocalyptic number.

It is an amenable number.

9300249144 is an abundant number, since it is smaller than the sum of its proper divisors (16533776856).

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

9300249144 is a wasteful number, since it uses less digits than its factorization.

9300249144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43056724 (or 43056714 counting only the distinct ones).

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

The square root of 9300249144 is about 96437.7993527434. The cubic root of 9300249144 is about 2102.9624963550.

The spelling of 9300249144 in words is "nine billion, three hundred million, two hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 43056709 86113418 129170127 172226836 258340254 344453672 387510381 516680508 775020762 1033361016 1162531143 1550041524 2325062286 3100083048 4650124572 9300249144