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329243616 = 2535133257
BaseRepresentation
bin10011100111111…
…101101111100000
3211221112022100000
4103213331233200
51133241243431
652400500000
711105344632
oct2347755740
9757468300
10329243616
11159938669
129231a600
1353299710
1431a26a52
151dd889e6
hex139fdbe0

329243616 has 144 divisors (see below), whose sum is σ = 1045974384. Its totient is φ = 101274624.

The previous prime is 329243611. The next prime is 329243623. The reversal of 329243616 is 616342923.

329243616 is a `hidden beast` number, since 3 + 292 + 4 + 361 + 6 = 666.

329243616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329243611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99460 + ... + 102716.

It is an arithmetic number, because the mean of its divisors is an integer number (7263711).

Almost surely, 2329243616 is an apocalyptic number.

329243616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329243616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522987192).

329243616 is an abundant number, since it is smaller than the sum of its proper divisors (716730768).

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

329243616 is a wasteful number, since it uses less digits than its factorization.

329243616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3275 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 329243616 is about 18145.0713969386. The cubic root of 329243616 is about 690.5139460151.

The spelling of 329243616 in words is "three hundred twenty-nine million, two hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3257 3744 3888 4212 5616 6318 6514 7776 8424 9771 11232 12636 13028 16848 19542 25272 26056 29313 33696 39084 42341 50544 52112 58626 78168 84682 87939 101088 104224 117252 127023 156336 169364 175878 234504 254046 263817 312672 338728 351756 381069 469008 508092 527634 677456 703512 762138 791451 938016 1016184 1055268 1143207 1354912 1407024 1524276 1582902 2032368 2110536 2286414 2814048 3048552 3165804 3429621 4064736 4221072 4572828 6097104 6331608 6859242 8442144 9145656 10288863 12194208 12663216 13718484 18291312 20577726 25326432 27436968 36582624 41155452 54873936 82310904 109747872 164621808 329243616