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331030000 = 245474729
BaseRepresentation
bin10011101110110…
…001110111110000
3212001220001210101
4103232301313300
51134220430000
652503042144
711126465020
oct2356616760
9761801711
10331030000
1115a948814
1292a40354
1353773852
1431d6da80
151e0dce6a
hex13bb1df0

331030000 has 100 divisors (see below), whose sum is σ = 916144240. Its totient is φ = 113472000.

The previous prime is 331029991. The next prime is 331030003. The reversal of 331030000 is 30133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331030003) 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 19 ways as a sum of consecutive naturals, for example, 67636 + ... + 72364.

Almost surely, 2331030000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458072120).

331030000 is an abundant number, since it is smaller than the sum of its proper divisors (585114240).

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

331030000 is an equidigital number, since it uses as much as digits as its factorization.

331030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 331030000 is about 18194.2298545445. The cubic root of 331030000 is about 691.7605395082.

Adding to 331030000 its reverse (30133), we get a palindrome (331060133).

The spelling of 331030000 in words is "three hundred thirty-one million, thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 4729 5000 7000 8750 9458 10000 14000 17500 18916 23645 33103 35000 37832 47290 66206 70000 75664 94580 118225 132412 165515 189160 236450 264824 331030 378320 472900 529648 591125 662060 827575 945800 1182250 1324120 1655150 1891600 2364500 2648240 2955625 3310300 4137875 4729000 5911250 6620600 8275750 9458000 11822500 13241200 16551500 20689375 23645000 33103000 41378750 47290000 66206000 82757500 165515000 331030000