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331003242 = 23218389069
BaseRepresentation
bin10011101110101…
…011010101101010
3212001211201002100
4103232223111222
51134214100432
652502314230
711126324013
oct2356532552
9761751070
10331003242
1115a92a6a9
1292a28976
135376460b
1431d6400a
151e0d507c
hex13bab56a

331003242 has 12 divisors (see below), whose sum is σ = 717173730. Its totient is φ = 110334408.

The previous prime is 331003229. The next prime is 331003247. The reversal of 331003242 is 242300133.

It can be written as a sum of positive squares in only one way, i.e., 317231721 + 13771521 = 17811^2 + 3711^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 18389069 = 331003242 / (3 + 3 + 1 + 0 + 0 + 3 + 2 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (331003247) 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 5 ways as a sum of consecutive naturals, for example, 9194517 + ... + 9194552.

Almost surely, 2331003242 is an apocalyptic number.

331003242 is an abundant number, since it is smaller than the sum of its proper divisors (386170488).

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

331003242 is a wasteful number, since it uses less digits than its factorization.

331003242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18389077 (or 18389074 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331003242 is about 18193.4944966601. The cubic root of 331003242 is about 691.7419000825.

Adding to 331003242 its reverse (242300133), we get a palindrome (573303375).

The spelling of 331003242 in words is "three hundred thirty-one million, three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 18389069 36778138 55167207 110334414 165501621 331003242