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2343143440 = 2451141101643
BaseRepresentation
bin1000101110101001…
…1000100000010000
320001022001000112101
42023222120200100
514244321042230
61024301410144
7112031250661
oct21352304020
96038030471
102343143440
11aa2709390
12554869954
132b459c711
1418329d368
15daa94aca
hex8ba98810

2343143440 has 160 divisors (see below), whose sum is σ = 6157855872. Its totient is φ = 821760000.

The previous prime is 2343143417. The next prime is 2343143447. The reversal of 2343143440 is 443413432.

It is a junction number, because it is equal to n+sod(n) for n = 2343143399 and 2343143408.

It is not an unprimeable number, because it can be changed into a prime (2343143447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3643759 + ... + 3644401.

Almost surely, 22343143440 is an apocalyptic number.

2343143440 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 2343143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078927936).

2343143440 is an abundant number, since it is smaller than the sum of its proper divisors (3814712432).

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

2343143440 is a wasteful number, since it uses less digits than its factorization.

2343143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 2343143440 is about 48406.0268974846. The cubic root of 2343143440 is about 1328.2086120482.

Adding to 2343143440 its reverse (443413432), we get a palindrome (2786556872).

The spelling of 2343143440 in words is "two billion, three hundred forty-three million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 101 110 164 176 202 205 220 328 404 410 440 451 505 643 656 808 820 880 902 1010 1111 1286 1616 1640 1804 2020 2222 2255 2572 3215 3280 3608 4040 4141 4444 4510 5144 5555 6430 7073 7216 8080 8282 8888 9020 10288 11110 12860 14146 16564 17776 18040 20705 22220 25720 26363 28292 33128 35365 36080 41410 44440 45551 51440 52726 56584 64943 66256 70730 82820 88880 91102 105452 113168 129886 131815 141460 165640 182204 210904 227755 259772 263630 282920 289993 324715 331280 364408 421808 455510 519544 527260 565840 579986 649430 714373 728816 911020 1039088 1054520 1159972 1298860 1428746 1449965 1822040 2109040 2319944 2597720 2662663 2857492 2899930 3571865 3644080 4639888 5195440 5325326 5714984 5799860 7143730 10650652 11429968 11599720 13313315 14287460 21301304 23199440 26626630 28574920 29289293 42602608 53253260 57149840 58578586 106506520 117157172 146446465 213013040 234314344 292892930 468628688 585785860 1171571720 2343143440