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1322013348 = 223241895673
BaseRepresentation
bin100111011001100…
…0101001010100100
310102010121020101100
41032303011022210
510201413411343
6335103200100
744521633215
oct11663051244
93363536340
101322013348
11619273217
1230a8a6030
13180b74926
14c781140c
157b0dc9d3
hex4ecc52a4

1322013348 has 36 divisors (see below), whose sum is σ = 3423266028. Its totient is φ = 429922560.

The previous prime is 1322013311. The next prime is 1322013359. The reversal of 1322013348 is 8433102231.

1322013348 is a `hidden beast` number, since 1 + 322 + 0 + 1 + 334 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82410084 + 1239603264 = 9078^2 + 35208^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446361 + ... + 449312.

It is an arithmetic number, because the mean of its divisors is an integer number (95090723).

Almost surely, 21322013348 is an apocalyptic number.

1322013348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1322013348 is an abundant number, since it is smaller than the sum of its proper divisors (2101252680).

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

1322013348 is a wasteful number, since it uses less digits than its factorization.

1322013348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895724 (or 895719 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1322013348 is about 36359.5014817310. The cubic root of 1322013348 is about 1097.5187455698.

Adding to 1322013348 its reverse (8433102231), we get a palindrome (9755115579).

The spelling of 1322013348 in words is "one billion, three hundred twenty-two million, thirteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 895673 1791346 2687019 3582692 5374038 8061057 10748076 16122114 32244228 36722593 73445186 110167779 146890372 220335558 330503337 440671116 661006674 1322013348