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2343404140 = 225711192832
BaseRepresentation
bin1000101110101101…
…1000001001101100
320001022112021010221
42023223120021230
514244402413030
61024311141124
7112033415020
oct21353301154
96038467127
102343404140
11aa2877240
125549747a4
132b466128c
1418332a380
15daae6e7a
hex8bad826c

2343404140 has 144 divisors (see below), whose sum is σ = 6481278720. Its totient is φ = 689523840.

The previous prime is 2343404113. The next prime is 2343404149. The reversal of 2343404140 is 414043432.

It is not an unprimeable number, because it can be changed into a prime (2343404149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8280439 + ... + 8280721.

It is an arithmetic number, because the mean of its divisors is an integer number (45008880).

Almost surely, 22343404140 is an apocalyptic number.

2343404140 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 2343404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240639360).

2343404140 is an abundant number, since it is smaller than the sum of its proper divisors (4137874580).

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

2343404140 is a wasteful number, since it uses less digits than its factorization.

2343404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2343404140 is about 48408.7196690844. The cubic root of 2343404140 is about 1328.2578694031.

Adding to 2343404140 its reverse (414043432), we get a palindrome (2757447572).

The spelling of 2343404140 in words is "two billion, three hundred forty-three million, four hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 283 308 380 385 418 532 566 665 770 836 1045 1132 1330 1415 1463 1540 1981 2090 2660 2830 2926 3113 3962 4180 5377 5660 5852 6226 7315 7924 9905 10754 12452 14630 15565 19810 21508 21791 26885 29260 31130 37639 39620 43582 53770 59147 62260 75278 80089 87164 107540 108955 118294 150556 160178 188195 217910 236588 295735 320356 376390 400445 414029 435820 560623 591470 752780 800890 828058 880979 1121246 1182940 1521691 1601780 1656116 1761958 2070145 2242492 2803115 3043382 3523916 4140290 4404895 5606230 6086764 6166853 7608455 8280580 8809790 10651837 11212460 12333706 15216910 16738601 17619580 21303674 24667412 30433820 30834265 33477202 42607348 53259185 61668530 66954404 83693005 106518370 117170207 123337060 167386010 213036740 234340414 334772020 468680828 585851035 1171702070 2343404140