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322420322432 = 2713193762213
BaseRepresentation
bin1001011000100011011…
…11111011000010000000
31010211020000201102012102
410230101233323002000
520240304100304212
6404041242245532
732202606344015
oct4542157730200
91124200642172
10322420322432
1111481295939a
12525a1ab68a8
1324533a892a0
1411868a5770c
1585c0b675c2
hex4b11bfb080

322420322432 has 32 divisors (see below), whose sum is σ = 691731103980. Its totient is φ = 148809378816.

The previous prime is 322420322431. The next prime is 322420322443. The reversal of 322420322432 is 234223024223.

It can be written as a sum of positive squares in 2 ways, for example, as 272876685376 + 49543637056 = 522376^2 + 222584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 322420322395 and 322420322404.

It is not an unprimeable number, because it can be changed into a prime (322420322431) 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 3 ways as a sum of consecutive naturals, for example, 96879443 + ... + 96882770.

Almost surely, 2322420322432 is an apocalyptic number.

322420322432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

322420322432 is an abundant number, since it is smaller than the sum of its proper divisors (369310781548).

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

322420322432 is a wasteful number, since it uses less digits than its factorization.

322420322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193762240 (or 193762228 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 322420322432 its reverse (234223024223), we get a palindrome (556643346655).

The spelling of 322420322432 in words is "three hundred twenty-two billion, four hundred twenty million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 193762213 387524426 775048852 1550097704 2518908769 3100195408 5037817538 6200390816 10075635076 12400781632 20151270152 24801563264 40302540304 80605080608 161210161216 322420322432