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2331444040 = 235716311301
BaseRepresentation
bin1000101011110111…
…0000001101001000
320000111000121222021
42022331300031020
514233322202130
61023202534224
7111526642642
oct21275601510
96014017867
102331444040
11a97048462
12550967374
132b20344b3
141818d5892
15d9a3337a
hex8af70348

2331444040 has 64 divisors (see below), whose sum is σ = 5332158720. Its totient is φ = 917280000.

The previous prime is 2331444023. The next prime is 2331444109. The reversal of 2331444040 is 404441332.

It is a junction number, because it is equal to n+sod(n) for n = 2331443996 and 2331444014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791390 + ... + 1792690.

It is an arithmetic number, because the mean of its divisors is an integer number (83314980).

Almost surely, 22331444040 is an apocalyptic number.

2331444040 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 2331444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666079360).

2331444040 is an abundant number, since it is smaller than the sum of its proper divisors (3000714680).

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

2331444040 is a wasteful number, since it uses less digits than its factorization.

2331444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2331444040 is about 48285.0291498307. The cubic root of 2331444040 is about 1325.9943247196.

Adding to 2331444040 its reverse (404441332), we get a palindrome (2735885372).

The spelling of 2331444040 in words is "two billion, three hundred thirty-one million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 631 710 1262 1301 1420 2524 2602 2840 3155 5048 5204 6310 6505 10408 12620 13010 25240 26020 44801 52040 89602 92371 179204 184742 224005 358408 369484 448010 461855 738968 820931 896020 923710 1641862 1792040 1847420 3283724 3694840 4104655 6567448 8209310 16418620 32837240 58286101 116572202 233144404 291430505 466288808 582861010 1165722020 2331444040