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329041812 = 2231131191421
BaseRepresentation
bin10011100111001…
…100011110010100
3211221011001111210
4103213030132110
51133213314222
652352301420
711103544401
oct2347143624
9757131453
10329041812
1115980aa90
1292241870
13532288c8
14319b32a8
151dd48d0c
hex139cc794

329041812 has 96 divisors (see below), whose sum is σ = 871170048. Its totient is φ = 95760000.

The previous prime is 329041807. The next prime is 329041813. The reversal of 329041812 is 218140923.

It is a self number, because there is not a number n which added to its sum of digits gives 329041812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329041813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781362 + ... + 781782.

It is an arithmetic number, because the mean of its divisors is an integer number (9074688).

Almost surely, 2329041812 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 329041812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435585024).

329041812 is an abundant number, since it is smaller than the sum of its proper divisors (542128236).

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

329041812 is a wasteful number, since it uses less digits than its factorization.

329041812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 329041812 is about 18139.5096956891. The cubic root of 329041812 is about 690.3728377803.

It can be divided in two parts, 32904 and 1812, that added together give a triangular number (34716 = T263).

The spelling of 329041812 in words is "three hundred twenty-nine million, forty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 191 341 372 382 421 573 682 764 842 1023 1146 1263 1364 1684 2046 2101 2292 2526 4092 4202 4631 5052 5921 6303 8404 9262 11842 12606 13051 13893 17763 18524 23684 25212 26102 27786 35526 39153 52204 55572 65131 71052 78306 80411 130262 143561 156612 160822 195393 241233 260524 287122 321644 390786 430683 482466 574244 781572 861366 884521 964932 1722732 1769042 2492741 2653563 3538084 4985482 5307126 7478223 9970964 10614252 14956446 27420151 29912892 54840302 82260453 109680604 164520906 329041812