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329612985 = 325132919429
BaseRepresentation
bin10011101001010…
…111111010111001
3211222020002000100
4103221113322321
51133340103420
652412430013
711111443542
oct2351277271
9758202010
10329612985
1115a070129
1292478309
1353398890
1431ac14c9
151de0d190
hex13a57eb9

329612985 has 48 divisors (see below), whose sum is σ = 636526800. Its totient is φ = 156667392.

The previous prime is 329612971. The next prime is 329612993. The reversal of 329612985 is 589216923.

329612985 is a `hidden beast` number, since 3 + 29 + 612 + 9 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 108555561 + 221057424 = 10419^2 + 14868^2 .

It is not a de Polignac number, because 329612985 - 28 = 329612729 is a prime.

It is a super-2 number, since 2×3296129852 = 217289439761220450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 329612985.

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, 7251 + ... + 26679.

It is an arithmetic number, because the mean of its divisors is an integer number (13260975).

Almost surely, 2329612985 is an apocalyptic number.

It is an amenable number.

329612985 is a deficient number, since it is larger than the sum of its proper divisors (306913815).

329612985 is a wasteful number, since it uses less digits than its factorization.

329612985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19482 (or 19479 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 329612985 is about 18155.2467622999. The cubic root of 329612985 is about 690.7720721293.

The spelling of 329612985 in words is "three hundred twenty-nine million, six hundred twelve thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 3393 5655 16965 19429 58287 97145 174861 252577 291435 563441 757731 874305 1262885 1690323 2273193 2817205 3788655 5070969 7324733 8451615 11365965 21974199 25354845 36623665 65922597 109870995 329612985