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329069520 = 243351311719
BaseRepresentation
bin10011100111010…
…011001111010000
3211221012110112000
4103213103033100
51133220211040
652353034000
711104021233
oct2347231720
9757173460
10329069520
1115982988a
1292255900
13532383c0
14319bd41a
151dd52130
hex139d33d0

329069520 has 160 divisors (see below), whose sum is σ = 1220755200. Its totient is φ = 80994816.

The previous prime is 329069509. The next prime is 329069549. The reversal of 329069520 is 25960923.

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, 22221 + ... + 33939.

It is an arithmetic number, because the mean of its divisors is an integer number (7629720).

Almost surely, 2329069520 is an apocalyptic number.

329069520 is a gapful number since it is divisible by the number (30) 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 329069520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610377600).

329069520 is an abundant number, since it is smaller than the sum of its proper divisors (891685680).

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

329069520 is a wasteful number, since it uses less digits than its factorization.

329069520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11754 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 329069520 is about 18140.2734268257. The cubic root of 329069520 is about 690.3922155746.

The spelling of 329069520 in words is "three hundred twenty-nine million, sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 11719 14040 23438 28080 35157 46876 58595 70314 93752 105471 117190 140628 152347 175785 187504 210942 234380 281256 304694 316413 351570 421884 457041 468760 527355 562512 609388 632826 703140 761735 843768 914082 937520 1054710 1218776 1265652 1371123 1406280 1523470 1582065 1687536 1828164 2109420 2285205 2437552 2531304 2742246 2812560 3046940 3164130 3656328 4113369 4218840 4570410 5062608 5484492 6093880 6328260 6855615 7312656 8226738 8437680 9140820 10968984 12187760 12656520 13711230 16453476 18281640 20566845 21937968 25313040 27422460 32906952 36563280 41133690 54844920 65813904 82267380 109689840 164534760 329069520