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329540484 = 2237213192269
BaseRepresentation
bin10011101001000…
…110001110000100
3211222002101120010
4103221012032010
51133330243414
652411110220
711111022300
oct2351061604
9758071503
10329540484
1115a020709
1292442370
1353371890
1431aa2d00
151dde6959
hex13a46384

329540484 has 144 divisors (see below), whose sum is σ = 1014417600. Its totient is φ = 82301184.

The previous prime is 329540473. The next prime is 329540501. The reversal of 329540484 is 484045923.

329540484 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144102 + ... + 146370.

Almost surely, 2329540484 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 329540484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507208800).

329540484 is an abundant number, since it is smaller than the sum of its proper divisors (684877116).

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

329540484 is a wasteful number, since it uses less digits than its factorization.

329540484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 329540484 is about 18153.2499569636. The cubic root of 329540484 is about 690.7214214767.

The spelling of 329540484 in words is "three hundred twenty-nine million, five hundred forty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 931 988 1092 1274 1482 1596 1729 1862 1911 2269 2548 2793 2964 3458 3724 3822 4538 5187 5586 6807 6916 7644 9076 10374 11172 12103 13614 15883 20748 24206 27228 29497 31766 36309 43111 47649 48412 58994 63532 72618 86222 88491 95298 111181 117988 129333 145236 172444 176982 190596 206479 222362 258666 301777 333543 353964 412958 444724 517332 560443 603554 619437 667086 825916 905331 1120886 1207108 1238874 1334172 1445353 1681329 1810662 2112439 2241772 2477748 2890706 3362658 3621324 3923101 4224878 4336059 5781412 6337317 6725316 7846202 8449756 8672118 11769303 12674634 15692404 17344236 23538606 25349268 27461707 47077212 54923414 82385121 109846828 164770242 329540484