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331055000 = 235473907
BaseRepresentation
bin10011101110110…
…111111110011000
3212001221100002022
4103232313332120
51134222230000
652503354012
711126630633
oct2356677630
9761840068
10331055000
1115a965581
1292a52908
1353782043
1431d78c1a
151e0e5585
hex13bb7f98

331055000 has 80 divisors (see below), whose sum is σ = 787154280. Its totient is φ = 130464000.

The previous prime is 331054963. The next prime is 331055009. The reversal of 331055000 is 550133.

It is a self number, because there is not a number n which added to its sum of digits gives 331055000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331055009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 364547 + ... + 365453.

Almost surely, 2331055000 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 331055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393577140).

331055000 is an abundant number, since it is smaller than the sum of its proper divisors (456099280).

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

331055000 is an equidigital number, since it uses as much as digits as its factorization.

331055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 331055000 is about 18194.9168725774. The cubic root of 331055000 is about 691.7779534164. Note that the first 3 decimals are identical.

The spelling of 331055000 in words is "three hundred thirty-one million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 625 730 907 1000 1250 1460 1814 1825 2500 2920 3628 3650 4535 5000 7256 7300 9070 9125 14600 18140 18250 22675 36280 36500 45350 45625 66211 73000 90700 91250 113375 132422 181400 182500 226750 264844 331055 365000 453500 529688 566875 662110 907000 1133750 1324220 1655275 2267500 2648440 3310550 4535000 6621100 8276375 13242200 16552750 33105500 41381875 66211000 82763750 165527500 331055000