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329217980 = 225713533413
BaseRepresentation
bin10011100111110…
…111011110111100
3211221111000011112
4103213313132330
51133234433410
652400141152
711105210120
oct2347673674
9757430145
10329217980
11159920383
12923077b8
135328ab50
1431a1b580
151dd81105
hex139f77bc

329217980 has 96 divisors (see below), whose sum is σ = 867210624. Its totient is φ = 102196224.

The previous prime is 329217979. The next prime is 329218003. The reversal of 329217980 is 89712923.

It is a happy number.

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, 94754 + ... + 98166.

It is an arithmetic number, because the mean of its divisors is an integer number (9033444).

Almost surely, 2329217980 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 329217980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433605312).

329217980 is an abundant number, since it is smaller than the sum of its proper divisors (537992644).

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

329217980 is a wasteful number, since it uses less digits than its factorization.

329217980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 329217980 is about 18144.3649654652. The cubic root of 329217980 is about 690.4960236479.

The spelling of 329217980 in words is "three hundred twenty-nine million, two hundred seventeen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1060 1378 1484 1820 1855 2756 3413 3445 3710 4823 6826 6890 7420 9646 13652 13780 17065 19292 23891 24115 34130 44369 47782 48230 68260 88738 95564 96460 119455 177476 180889 221845 238910 310583 361778 443690 477820 621166 723556 887380 904445 1242332 1266223 1552915 1808890 2351557 2532446 3105830 3617780 4703114 5064892 6211660 6331115 9406228 11757785 12662230 16460899 23515570 25324460 32921798 47031140 65843596 82304495 164608990 329217980