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2331340040 = 235671675209
BaseRepresentation
bin1000101011110101…
…0110110100001000
320000110211100022102
42022331112310020
514233310340130
61023200412532
7111526030511
oct21275266410
96013740272
102331340040
11a96a87307
12550917148
132b1cc9063
141818a9a08
15d9a12645
hex8af56d08

2331340040 has 64 divisors (see below), whose sum is σ = 5356713600. Its totient is φ = 912941568.

The previous prime is 2331339979. The next prime is 2331340043. The reversal of 2331340040 is 400431332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2331339994 and 2331340021.

It is not an unprimeable number, because it can be changed into a prime (2331340043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444956 + ... + 450164.

It is an arithmetic number, because the mean of its divisors is an integer number (83698650).

Almost surely, 22331340040 is an apocalyptic number.

2331340040 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 2331340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678356800).

2331340040 is an abundant number, since it is smaller than the sum of its proper divisors (3025373560).

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

2331340040 is a wasteful number, since it uses less digits than its factorization.

2331340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2331340040 is about 48283.9521994627. The cubic root of 2331340040 is about 1325.9746079749.

Adding to 2331340040 its reverse (400431332), we get a palindrome (2731771372).

The spelling of 2331340040 in words is "two billion, three hundred thirty-one million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 167 268 334 335 536 668 670 835 1336 1340 1670 2680 3340 5209 6680 10418 11189 20836 22378 26045 41672 44756 52090 55945 89512 104180 111890 208360 223780 349003 447560 698006 869903 1396012 1739806 1745015 2792024 3479612 3490030 4349515 6959224 6980060 8699030 13960120 17398060 34796120 58283501 116567002 233134004 291417505 466268008 582835010 1165670020 2331340040