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2324004301440 = 273252329604907
BaseRepresentation
bin100001110100011001011…
…100110110101010000000
322020011122212002201212200
4201310121130312222000
5301034030100121230
64535344405353200
7326621664424503
oct41643134665200
98204585081780
102324004301440
11816671929038
123164a8408800
1313b1ca537133
14806a7a2b13a
15406bcc2c160
hex21d19736a80

2324004301440 has 384 divisors, whose sum is σ = 8662766486400. Its totient is φ = 572347539456.

The previous prime is 2324004301429. The next prime is 2324004301447. The reversal of 2324004301440 is 441034004232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×23240043014402 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2324004301447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3539467 + ... + 4144373.

It is an arithmetic number, because the mean of its divisors is an integer number (22559287725).

Almost surely, 22324004301440 is an apocalyptic number.

2324004301440 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 2324004301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331383243200).

2324004301440 is an abundant number, since it is smaller than the sum of its proper divisors (6338762184960).

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

2324004301440 is a wasteful number, since it uses less digits than its factorization.

2324004301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604984 (or 604969 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2324004301440 its reverse (441034004232), we get a palindrome (2765038305672).

The spelling of 2324004301440 in words is "two trillion, three hundred twenty-four billion, four million, three hundred one thousand, four hundred forty".