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2873909340 = 22325234431567
BaseRepresentation
bin1010101101001100…
…0110000001011100
321102021202201110200
42223103012001130
521341210044330
61153101503500
7131134553301
oct25323060134
97367681420
102873909340
111245279695
12682571b90
1336a537293
141d39830a8
1511c488a60
hexab4c605c

2873909340 has 144 divisors (see below), whose sum is σ = 9122899968. Its totient is φ = 730933632.

The previous prime is 2873909303. The next prime is 2873909341. The reversal of 2873909340 is 439093782.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2873909341) 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, 1833237 + ... + 1834803.

It is an arithmetic number, because the mean of its divisors is an integer number (63353472).

Almost surely, 22873909340 is an apocalyptic number.

2873909340 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 2873909340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561449984).

2873909340 is an abundant number, since it is smaller than the sum of its proper divisors (6248990628).

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

2873909340 is a wasteful number, since it uses less digits than its factorization.

2873909340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2873909340 is about 53608.8550521273. The cubic root of 2873909340 is about 1421.7536589541.

The spelling of 2873909340 in words is "two billion, eight hundred seventy-three million, nine hundred nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 443 460 690 828 886 1035 1329 1380 1567 1772 2070 2215 2658 3134 3987 4140 4430 4701 5316 6268 6645 7835 7974 8860 9402 10189 13290 14103 15670 15948 18804 19935 20378 23505 26580 28206 30567 31340 36041 39870 40756 47010 50945 56412 61134 70515 72082 79740 91701 94020 101890 108123 122268 141030 144164 152835 180205 183402 203780 216246 282060 305670 324369 360410 366804 432492 458505 540615 611340 648738 694181 720820 917010 1081230 1297476 1388362 1621845 1834020 2082543 2162460 2776724 3243690 3470905 4165086 6247629 6487380 6941810 8330172 10412715 12495258 13883620 15966163 20825430 24990516 31238145 31932326 41650860 47898489 62476290 63864652 79830815 95796978 124952580 143695467 159661630 191593956 239492445 287390934 319323260 478984890 574781868 718477335 957969780 1436954670 2873909340