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329874012 = 223313474999
BaseRepresentation
bin10011101010010…
…111101001011100
3211222201100002000
4103222113221130
51133421432022
652422202300
711113611546
oct2352275134
9758640060
10329874012
1115a229256
1292583390
135345a630
1431b4c696
151de606ac
hex13a97a5c

329874012 has 96 divisors (see below), whose sum is σ = 940800000. Its totient is φ = 99320256.

The previous prime is 329873993. The next prime is 329874047. The reversal of 329874012 is 210478923.

It is a super-2 number, since 2×3298740122 = 217633727585952288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63489 + ... + 68487.

It is an arithmetic number, because the mean of its divisors is an integer number (9800000).

Almost surely, 2329874012 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 329874012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470400000).

329874012 is an abundant number, since it is smaller than the sum of its proper divisors (610925988).

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

329874012 is a wasteful number, since it uses less digits than its factorization.

329874012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 329874012 is about 18162.4340879740. The cubic root of 329874012 is about 690.9543693423.

The spelling of 329874012 in words is "three hundred twenty-nine million, eight hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 94 108 117 141 156 188 234 282 351 423 468 564 611 702 846 1222 1269 1404 1692 1833 2444 2538 3666 4999 5076 5499 7332 9998 10998 14997 16497 19996 21996 29994 32994 44991 59988 64987 65988 89982 129974 134973 179964 194961 234953 259948 269946 389922 469906 539892 584883 704859 779844 939812 1169766 1409718 1754649 2114577 2339532 2819436 3054389 3509298 4229154 6108778 6343731 7018596 8458308 9163167 12217556 12687462 18326334 25374924 27489501 36652668 54979002 82468503 109958004 164937006 329874012