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4306509340 = 2257431096563
BaseRepresentation
bin1000000001011000…
…00001111000011100
3102010010110100012221
410000230001320130
532304431244330
61551155235124
7211501503550
oct40054017034
912103410187
104306509340
11190aa04231
12a022a8aa4
1353828b2a3
142cbd3d860
151a311cb7a
hex100b01e1c

4306509340 has 96 divisors (see below), whose sum is σ = 10674639360. Its totient is φ = 1428731136.

The previous prime is 4306509301. The next prime is 4306509341. The reversal of 4306509340 is 439056034.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4306509296 and 4306509305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4306509341) 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, 652899 + ... + 659461.

It is an arithmetic number, because the mean of its divisors is an integer number (111194160).

Almost surely, 24306509340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4306509340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337319680).

4306509340 is an abundant number, since it is smaller than the sum of its proper divisors (6368130020).

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

4306509340 is a wasteful number, since it uses less digits than its factorization.

4306509340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 4306509340 is about 65623.9997257101. Note that the first 3 decimals coincide. The cubic root of 4306509340 is about 1626.9534648582.

The spelling of 4306509340 in words is "four billion, three hundred six million, five hundred nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 109 140 172 215 218 301 430 436 545 602 763 860 1090 1204 1505 1526 2180 3010 3052 3815 4687 6020 6563 7630 9374 13126 15260 18748 23435 26252 32809 32815 45941 46870 65618 65630 91882 93740 131236 131260 164045 183764 229705 282209 328090 459410 564418 656180 715367 918820 1128836 1411045 1430734 1975463 2822090 2861468 3576835 3950926 5007569 5644180 7153670 7901852 9877315 10015138 14307340 19754630 20030276 25037845 30760781 39509260 50075690 61521562 100151380 123043124 153803905 215325467 307607810 430650934 615215620 861301868 1076627335 2153254670 4306509340