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1322341086 = 23111011631217
BaseRepresentation
bin100111011010001…
…0101001011011110
310102011012212221210
41032310111023132
510202004403321
6335114205250
744524466553
oct11664251336
93364185853
101322341086
11619477480
1230aa23826
13180c5ab61
14c7898a2a
157b154b76
hex4ed152de

1322341086 has 64 divisors (see below), whose sum is σ = 2933957376. Its totient is φ = 393984000.

The previous prime is 1322341063. The next prime is 1322341087. The reversal of 1322341086 is 6801432231.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322341087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085950 + ... + 1087166.

It is an arithmetic number, because the mean of its divisors is an integer number (45843084).

Almost surely, 21322341086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322341086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466978688).

1322341086 is an abundant number, since it is smaller than the sum of its proper divisors (1611616290).

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

1322341086 is a wasteful number, since it uses less digits than its factorization.

1322341086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1322341086 is about 36364.0081124180. The cubic root of 1322341086 is about 1097.6094327224.

The spelling of 1322341086 in words is "one billion, three hundred twenty-two million, three hundred forty-one thousand, eighty-six".

Divisors: 1 2 3 6 11 22 33 66 101 163 202 303 326 489 606 978 1111 1217 1793 2222 2434 3333 3586 3651 5379 6666 7302 10758 13387 16463 26774 32926 40161 49389 80322 98778 122917 181093 198371 245834 362186 368751 396742 543279 595113 737502 1086558 1190226 1352087 2182081 2704174 4056261 4364162 6546243 8112522 13092486 20035471 40070942 60106413 120212826 220390181 440780362 661170543 1322341086