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2813814330 = 2351747117389
BaseRepresentation
bin1010011110110111…
…0110011000111010
321021002200120121120
42213231312120322
521230314024310
61143113450110
7126505012215
oct24755663072
97232616546
102813814330
111214363398
12666410936
1335ac55cc2
141c99bc77c
15117067b70
hexa7b7663a

2813814330 has 64 divisors (see below), whose sum is σ = 7302597120. Its totient is φ = 691180544.

The previous prime is 2813814287. The next prime is 2813814359. The reversal of 2813814330 is 334183182.

It is a junction number, because it is equal to n+sod(n) for n = 2813814291 and 2813814300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34725 + ... + 82664.

It is an arithmetic number, because the mean of its divisors is an integer number (114103080).

Almost surely, 22813814330 is an apocalyptic number.

2813814330 is an abundant number, since it is smaller than the sum of its proper divisors (4488782790).

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

2813814330 is a wasteful number, since it uses less digits than its factorization.

2813814330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117463.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2813814330 is about 53045.3987637005. The cubic root of 2813814330 is about 1411.7738903028.

The spelling of 2813814330 in words is "two billion, eight hundred thirteen million, eight hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 470 510 705 799 1410 1598 2397 3995 4794 7990 11985 23970 117389 234778 352167 586945 704334 1173890 1760835 1995613 3521670 3991226 5517283 5986839 9978065 11034566 11973678 16551849 19956130 27586415 29934195 33103698 55172830 59868390 82759245 93793811 165518490 187587622 281381433 468969055 562762866 937938110 1406907165 2813814330