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2341141620 = 22351910120333
BaseRepresentation
bin1000101110001010…
…1111110001110100
320001011021022112220
42023202233301310
514243313012440
61024150442340
7112005242526
oct21342576164
96034238486
102341141620
11aa1571394
125540633b0
132b404b4cc
14182cdba16
15da7eb8d0
hex8b8afc74

2341141620 has 96 divisors (see below), whose sum is σ = 6968868480. Its totient is φ = 585561600.

The previous prime is 2341141613. The next prime is 2341141637. The reversal of 2341141620 is 261411432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104974 + ... + 125306.

It is an arithmetic number, because the mean of its divisors is an integer number (72592380).

Almost surely, 22341141620 is an apocalyptic number.

2341141620 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 2341141620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484434240).

2341141620 is an abundant number, since it is smaller than the sum of its proper divisors (4627726860).

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

2341141620 is a wasteful number, since it uses less digits than its factorization.

2341141620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20465 (or 20463 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2341141620 is about 48385.3450953902. The cubic root of 2341141620 is about 1327.8302610330.

The spelling of 2341141620 in words is "two billion, three hundred forty-one million, one hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 101 114 190 202 228 285 303 380 404 505 570 606 1010 1140 1212 1515 1919 2020 3030 3838 5757 6060 7676 9595 11514 19190 20333 23028 28785 38380 40666 57570 60999 81332 101665 115140 121998 203330 243996 304995 386327 406660 609990 772654 1158981 1219980 1545308 1931635 2053633 2317962 3863270 4107266 4635924 5794905 6160899 7726540 8214532 10268165 11589810 12321798 20536330 23179620 24643596 30804495 39019027 41072660 61608990 78038054 117057081 123217980 156076108 195095135 234114162 390190270 468228324 585285405 780380540 1170570810 2341141620