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2344221040 = 24575970951
BaseRepresentation
bin1000101110111001…
…1111100101110000
320001101001202201111
42023232133211300
514300110033130
61024340443104
7112043356450
oct21356374560
96041052644
102344221040
11aa3284a67
125550a9494
132b4889055
1418349dd60
15dac0902a
hex8bb9f970

2344221040 has 80 divisors (see below), whose sum is σ = 6334594560. Its totient is φ = 790099200.

The previous prime is 2344221037. The next prime is 2344221049. The reversal of 2344221040 is 401224432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344221049) 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, 2436 + ... + 68515.

It is an arithmetic number, because the mean of its divisors is an integer number (79182432).

Almost surely, 22344221040 is an apocalyptic number.

2344221040 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 2344221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167297280).

2344221040 is an abundant number, since it is smaller than the sum of its proper divisors (3990373520).

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

2344221040 is a wasteful number, since it uses less digits than its factorization.

2344221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71030 (or 71024 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2344221040 is about 48417.1564633860. The cubic root of 2344221040 is about 1328.4121930183.

Adding to 2344221040 its reverse (401224432), we get a palindrome (2745445472).

The spelling of 2344221040 in words is "two billion, three hundred forty-four million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 4130 4720 6608 8260 16520 33040 70951 141902 283804 354755 496657 567608 709510 993314 1135216 1419020 1986628 2483285 2838040 3973256 4186109 4966570 5676080 7946512 8372218 9933140 16744436 19866280 20930545 29302763 33488872 39732560 41861090 58605526 66977744 83722180 117211052 146513815 167444360 234422104 293027630 334888720 468844208 586055260 1172110520 2344221040