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2240340440 = 2351331713591
BaseRepresentation
bin1000010110001000…
…1110000111011000
312210010121002022212
42011202032013120
514042011343230
61010150134252
7106342402532
oct20542160730
95703532285
102240340440
11a4a682a28
12526351388
132991b7140
1417377c852
15d1a39895
hex8588e1d8

2240340440 has 64 divisors (see below), whose sum is σ = 5446042560. Its totient is φ = 824532480.

The previous prime is 2240340391. The next prime is 2240340497. The reversal of 2240340440 is 440430422.

It is a congruent number.

It is an unprimeable number.

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, 158045 + ... + 171635.

It is an arithmetic number, because the mean of its divisors is an integer number (85094415).

Almost surely, 22240340440 is an apocalyptic number.

2240340440 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 2240340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723021280).

2240340440 is an abundant number, since it is smaller than the sum of its proper divisors (3205702120).

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

2240340440 is a wasteful number, since it uses less digits than its factorization.

2240340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13932 (or 13928 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2240340440 is about 47332.2346820853. The cubic root of 2240340440 is about 1308.4928065399.

Adding to 2240340440 its reverse (440430422), we get a palindrome (2680770862).

The spelling of 2240340440 in words is "two billion, two hundred forty million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 317 520 634 1268 1585 2536 3170 4121 6340 8242 12680 13591 16484 20605 27182 32968 41210 54364 67955 82420 108728 135910 164840 176683 271820 353366 543640 706732 883415 1413464 1766830 3533660 4308347 7067320 8616694 17233388 21541735 34466776 43083470 56008511 86166940 112017022 172333880 224034044 280042555 448068088 560085110 1120170220 2240340440