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1322545440 = 25352755303
BaseRepresentation
bin100111011010100…
…0111000100100000
310102011121021021110
41032311013010200
510202032423230
6335122423320
744526310416
oct11665070440
93364537243
101322545440
116195a6a67
1230ab01b40
13180cccb88
14c790d2b6
157b1954b0
hex4ed47120

1322545440 has 48 divisors (see below), whose sum is σ = 4166019648. Its totient is φ = 352678656.

The previous prime is 1322545423. The next prime is 1322545463. The reversal of 1322545440 is 445452231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1322545398 and 1322545407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1377172 + ... + 1378131.

It is an arithmetic number, because the mean of its divisors is an integer number (86792076).

Almost surely, 21322545440 is an apocalyptic number.

1322545440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322545440 is an abundant number, since it is smaller than the sum of its proper divisors (2843474208).

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

1322545440 is a wasteful number, since it uses less digits than its factorization.

1322545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755321 (or 2755313 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 1322545440 is about 36366.8178426433. The cubic root of 1322545440 is about 1097.6659711670.

Adding to 1322545440 its reverse (445452231), we get a palindrome (1767997671).

The spelling of 1322545440 in words is "one billion, three hundred twenty-two million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2755303 5510606 8265909 11021212 13776515 16531818 22042424 27553030 33063636 41329545 44084848 55106060 66127272 82659090 88169696 110212120 132254544 165318180 220424240 264509088 330636360 440848480 661272720 1322545440