Search a number
-
+
2324994840 = 23355734171
BaseRepresentation
bin1000101010010100…
…1001101100011000
320000000212222100000
42022211021230120
514230144313330
61022412413000
7111421062420
oct21245115430
96000788300
102324994840
11a93443043
1254a777160
132b08b6bbc
14180ad7480
15d91ac560
hex8a949b18

2324994840 has 192 divisors, whose sum is σ = 8955797760. Its totient is φ = 531411840.

The previous prime is 2324994839. The next prime is 2324994899. The reversal of 2324994840 is 484994232.

It is a happy number.

It is a super-3 number, since 3×23249948403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50955 + ... + 85125.

It is an arithmetic number, because the mean of its divisors is an integer number (46644780).

Almost surely, 22324994840 is an apocalyptic number.

2324994840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324994840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477898880).

2324994840 is an abundant number, since it is smaller than the sum of its proper divisors (6630802920).

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

2324994840 is a wasteful number, since it uses less digits than its factorization.

2324994840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34204 (or 34188 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2324994840 is about 48218.2002982276. The cubic root of 2324994840 is about 1324.7705481402.

The spelling of 2324994840 in words is "two billion, three hundred twenty-four million, nine hundred ninety-four thousand, eight hundred forty".