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2312441440 = 25529736827
BaseRepresentation
bin1000100111010101…
…0000111001100000
312222011021012022021
42021311100321200
514213441111230
61021243351224
7111206266531
oct21165207140
95864235267
102312441440
11a87349531
12546522514
132ab11005a
1417d18a688
15d802cc7a
hex89d50e60

2312441440 has 96 divisors (see below), whose sum is σ = 5729784480. Its totient is φ = 880717824.

The previous prime is 2312441437. The next prime is 2312441441. The reversal of 2312441440 is 441442132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312441441) 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 15 ways as a sum of consecutive naturals, for example, 335307 + ... + 342133.

It is an arithmetic number, because the mean of its divisors is an integer number (59685255).

Almost surely, 22312441440 is an apocalyptic number.

2312441440 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 2312441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864892240).

2312441440 is an abundant number, since it is smaller than the sum of its proper divisors (3417343040).

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

2312441440 is a wasteful number, since it uses less digits than its factorization.

2312441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2312441440 is about 48087.8512724368. The cubic root of 2312441440 is about 1322.3819556518.

Adding to 2312441440 its reverse (441442132), we get a palindrome (2753883572).

The spelling of 2312441440 in words is "two billion, three hundred twelve million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 73 80 116 145 146 160 232 290 292 365 464 580 584 730 928 1160 1168 1460 2117 2320 2336 2920 4234 4640 5840 6827 8468 10585 11680 13654 16936 21170 27308 33872 34135 42340 54616 67744 68270 84680 109232 136540 169360 197983 218464 273080 338720 395966 498371 546160 791932 989915 996742 1092320 1583864 1979830 1993484 2491855 3167728 3959660 3986968 4983710 6335456 7919320 7973936 9967420 14452759 15838640 15947872 19934840 28905518 31677280 39869680 57811036 72263795 79739360 115622072 144527590 231244144 289055180 462488288 578110360 1156220720 2312441440