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321332020 = 22516066601
BaseRepresentation
bin10011001001110…
…010001100110100
3211101122100122221
4103021302030310
51124230111040
651515132124
710651164022
oct2311621464
9741570587
10321332020
11155424559
128b744044
13517595b9
1430967712
151d32474a
hex13272334

321332020 has 12 divisors (see below), whose sum is σ = 674797284. Its totient is φ = 128532800.

The previous prime is 321332003. The next prime is 321332023. The reversal of 321332020 is 20233123.

It can be written as a sum of positive squares in 2 ways, for example, as 58308496 + 263023524 = 7636^2 + 16218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 321331985 and 321332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321332023) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8033281 + ... + 8033320.

It is an arithmetic number, because the mean of its divisors is an integer number (56233107).

Almost surely, 2321332020 is an apocalyptic number.

It is an amenable number.

321332020 is an abundant number, since it is smaller than the sum of its proper divisors (353465264).

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

321332020 is a wasteful number, since it uses less digits than its factorization.

321332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16066610 (or 16066608 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 321332020 is about 17925.7362470834. The cubic root of 321332020 is about 684.9381157798.

Adding to 321332020 its reverse (20233123), we get a palindrome (341565143).

The spelling of 321332020 in words is "three hundred twenty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 16066601 32133202 64266404 80333005 160666010 321332020