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330231090 = 23572277811
BaseRepresentation
bin10011101011101…
…110110100110010
3212000101110220010
4103223232310302
51134014343330
652433555350
711116626600
oct2353566462
9760343803
10330231090
1115a452562
1292715b56
1353554017
1431c02870
151ded13b0
hex13aeed32

330231090 has 96 divisors (see below), whose sum is σ = 926420544. Its totient is φ = 75116160.

The previous prime is 330231089. The next prime is 330231113. The reversal of 330231090 is 90132033.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 406785 + ... + 407595.

It is an arithmetic number, because the mean of its divisors is an integer number (9650214).

Almost surely, 2330231090 is an apocalyptic number.

330231090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330231090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463210272).

330231090 is an abundant number, since it is smaller than the sum of its proper divisors (596189454).

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

330231090 is a wasteful number, since it uses less digits than its factorization.

330231090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 330231090 is about 18172.2615543581. The cubic root of 330231090 is about 691.2035913938.

The spelling of 330231090 in words is "three hundred thirty million, two hundred thirty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 277 294 490 554 735 811 831 1385 1470 1622 1662 1939 2433 2770 3878 4055 4155 4866 5677 5817 8110 8310 9695 11354 11634 12165 13573 17031 19390 24330 27146 28385 29085 34062 39739 40719 56770 58170 67865 79478 81438 85155 119217 135730 170310 198695 203595 224647 238434 397390 407190 449294 596085 673941 1123235 1192170 1347882 1572529 2246470 3145058 3369705 4717587 6739410 7862645 9435174 11007703 15725290 22015406 23587935 33023109 47175870 55038515 66046218 110077030 165115545 330231090