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321141220 = 22517944533
BaseRepresentation
bin10011001001000…
…011100111100100
3211101021122221021
4103021003213210
51124203004340
651511100524
710646440531
oct2311034744
9741248837
10321141220
11155304174
128b671744
13516c07ba
1430917d88
151d2d7e4a
hex132439e4

321141220 has 24 divisors (see below), whose sum is σ = 714067704. Its totient is φ = 120900096.

The previous prime is 321141209. The next prime is 321141221. The reversal of 321141220 is 22141123.

It can be written as a sum of positive squares in 4 ways, for example, as 100440484 + 220700736 = 10022^2 + 14856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 321141194 and 321141203.

It is not an unprimeable number, because it can be changed into a prime (321141221) 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 7 ways as a sum of consecutive naturals, for example, 471927 + ... + 472606.

It is an arithmetic number, because the mean of its divisors is an integer number (29752821).

Almost surely, 2321141220 is an apocalyptic number.

It is an amenable number.

321141220 is an abundant number, since it is smaller than the sum of its proper divisors (392926484).

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

321141220 is a wasteful number, since it uses less digits than its factorization.

321141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944559 (or 944557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 321141220 is about 17920.4134996936. The cubic root of 321141220 is about 684.8025217948.

Adding to 321141220 its reverse (22141123), we get a palindrome (343282343).

The spelling of 321141220 in words is "three hundred twenty-one million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 944533 1889066 3778132 4722665 9445330 16057061 18890660 32114122 64228244 80285305 160570610 321141220