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2341332420 = 223576783203
BaseRepresentation
bin1000101110001101…
…1110010111000100
320001011122000021120
42023203132113010
514243340114140
61024154513540
7112006666020
oct21343362704
96034560246
102341332420
11aa1691779
125541358b0
132b40b72cb
14182d4b380
15da8381d0
hex8b8de5c4

2341332420 has 96 divisors (see below), whose sum is σ = 7604179968. Its totient is φ = 527167872.

The previous prime is 2341332419. The next prime is 2341332467. The reversal of 2341332420 is 242331432.

2341332420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13462 + ... + 69741.

It is an arithmetic number, because the mean of its divisors is an integer number (79210208).

Almost surely, 22341332420 is an apocalyptic number.

2341332420 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 2341332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802089984).

2341332420 is an abundant number, since it is smaller than the sum of its proper divisors (5262847548).

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

2341332420 is a wasteful number, since it uses less digits than its factorization.

2341332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83289 (or 83287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2341332420 is about 48387.3167265969. The cubic root of 2341332420 is about 1327.8663322000.

Adding to 2341332420 its reverse (242331432), we get a palindrome (2583663852).

The spelling of 2341332420 in words is "two billion, three hundred forty-one million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 804 938 1005 1340 1407 1876 2010 2345 2814 4020 4690 5628 7035 9380 14070 28140 83203 166406 249609 332812 416015 499218 582421 832030 998436 1164842 1248045 1664060 1747263 2329684 2496090 2912105 3494526 4992180 5574601 5824210 6989052 8736315 11149202 11648420 16723803 17472630 22298404 27873005 33447606 34945260 39022207 55746010 66895212 78044414 83619015 111492020 117066621 156088828 167238030 195111035 234133242 334476060 390222070 468266484 585333105 780444140 1170666210 2341332420