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329395050 = 232522943587
BaseRepresentation
bin10011101000100…
…010101101101010
3211221211000001200
4103220202231222
51133311120200
652404025030
711106545265
oct2350425552
9757730050
10329395050
11159a31416
1292392176
135332061a
1431a65cdc
151ddb8800
hex13a22b6a

329395050 has 144 divisors (see below), whose sum is σ = 938377440. Its totient is φ = 82696320.

The previous prime is 329394977. The next prime is 329395067. The reversal of 329395050 is 50593923.

It is a junction number, because it is equal to n+sod(n) for n = 329394996 and 329395014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 560857 + ... + 561443.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2329395050 is an apocalyptic number.

329395050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 329395050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469188720).

329395050 is an abundant number, since it is smaller than the sum of its proper divisors (608982390).

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

329395050 is a wasteful number, since it uses less digits than its factorization.

329395050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 329395050 is about 18149.2437858992. The cubic root of 329395050 is about 690.6197959655.

The spelling of 329395050 in words is "three hundred twenty-nine million, three hundred ninety-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 43 45 50 58 75 86 87 90 129 145 150 174 215 225 258 261 290 387 430 435 450 522 587 645 725 774 870 1075 1174 1247 1290 1305 1450 1761 1935 2150 2175 2494 2610 2935 3225 3522 3741 3870 4350 5283 5870 6235 6450 6525 7482 8805 9675 10566 11223 12470 13050 14675 17023 17610 18705 19350 22446 25241 26415 29350 31175 34046 37410 44025 50482 51069 52830 56115 62350 75723 85115 88050 93525 102138 112230 126205 132075 151446 153207 170230 187050 227169 252410 255345 264150 280575 306414 378615 425575 454338 510690 561150 631025 731989 757230 766035 851150 1135845 1262050 1276725 1463978 1532070 1893075 2195967 2271690 2553450 3659945 3786150 3830175 4391934 5679225 6587901 7319890 7660350 10979835 11358450 13175802 18299725 21959670 32939505 36599450 54899175 65879010 109798350 164697525 329395050