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330105412 = 227135371241
BaseRepresentation
bin10011101011010…
…000001001000100
3212000011002111101
4103223100021010
51134001333122
652431145444
711115564310
oct2353201104
9760132441
10330105412
1115a37709a
1292675284
135350ba60
1431bacb40
151dea9027
hex13ad0244

330105412 has 96 divisors (see below), whose sum is σ = 737662464. Its totient is φ = 125798400.

The previous prime is 330105403. The next prime is 330105427. The reversal of 330105412 is 214501033.

It is a self number, because there is not a number n which added to its sum of digits gives 330105412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369612 + ... + 1369852.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2330105412 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 330105412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368831232).

330105412 is an abundant number, since it is smaller than the sum of its proper divisors (407557052).

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

330105412 is a wasteful number, since it uses less digits than its factorization.

330105412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 330105412 is about 18168.8032627358. The cubic root of 330105412 is about 691.1158951208.

Adding to 330105412 its reverse (214501033), we get a palindrome (544606445).

The spelling of 330105412 in words is "three hundred thirty million, one hundred five thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 53 71 91 106 142 182 212 241 284 364 371 482 497 689 742 923 964 994 1378 1484 1687 1846 1988 2756 3133 3374 3692 3763 4823 6266 6461 6748 7526 9646 12532 12773 12922 15052 17111 19292 21931 25546 25844 26341 34222 43862 48919 51092 52682 68444 87724 89411 97838 105364 119777 166049 178822 195676 222443 239554 332098 342433 357644 444886 479108 664196 684866 889772 906883 1162343 1369732 1557101 1813766 2324686 3114202 3627532 4649372 6228404 6348181 11789479 12696362 23578958 25392724 47157916 82526353 165052706 330105412