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2340335340 = 2232574394231
BaseRepresentation
bin1000101101111110…
…1010111011101100
320001002202100112200
42023133222323230
514243111212330
61024121301500
7111665344050
oct21337527354
96032670480
102340335340
11aa1070642
12553934890
132b3b28515
14182b6bc60
15da6dca60
hex8b7eaeec

2340335340 has 144 divisors (see below), whose sum is σ = 8133565440. Its totient is φ = 533589120.

The previous prime is 2340335267. The next prime is 2340335383. The reversal of 2340335340 is 435330432.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551025 + ... + 555255.

Almost surely, 22340335340 is an apocalyptic number.

2340335340 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 2340335340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066782720).

2340335340 is an abundant number, since it is smaller than the sum of its proper divisors (5793230100).

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

2340335340 is a wasteful number, since it uses less digits than its factorization.

2340335340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 2340335340 is about 48377.0125162768. The cubic root of 2340335340 is about 1327.6778103509.

Adding to 2340335340 its reverse (435330432), we get a palindrome (2775665772).

The spelling of 2340335340 in words is "two billion, three hundred forty million, three hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 439 630 878 1260 1317 1756 2195 2634 3073 3951 4231 4390 5268 6146 6585 7902 8462 8780 9219 12292 12693 13170 15365 15804 16924 18438 19755 21155 25386 26340 27657 29617 30730 36876 38079 39510 42310 46095 50772 55314 59234 61460 63465 76158 79020 84620 88851 92190 110628 118468 126930 138285 148085 152316 177702 184380 190395 253860 266553 276570 296170 355404 380790 444255 533106 553140 592340 761580 888510 1066212 1332765 1777020 1857409 2665530 3714818 5331060 5572227 7429636 9287045 11144454 13001863 16716681 18574090 22288908 26003726 27861135 33433362 37148180 39005589 52007452 55722270 65009315 66866724 78011178 83583405 111444540 117016767 130018630 156022356 167166810 195027945 234033534 260037260 334333620 390055890 468067068 585083835 780111780 1170167670 2340335340