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329690361 = 3711131011087
BaseRepresentation
bin10011101001101…
…010110011111001
3211222101000011010
4103221222303321
51133400042421
652414224133
711112215250
oct2351526371
9758330133
10329690361
1115a113280
12924b5049
13533c4b70
1431b01797
151de26076
hex13a6acf9

329690361 has 64 divisors (see below), whose sum is σ = 596606976. Its totient is φ = 156384000.

The previous prime is 329690353. The next prime is 329690377. The reversal of 329690361 is 163096923.

It is not a de Polignac number, because 329690361 - 23 = 329690353 is a prime.

It is a super-4 number, since 4×3296903614 (a number of 35 digits) contains 4444 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (329690321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302760 + ... + 303846.

It is an arithmetic number, because the mean of its divisors is an integer number (9321984).

Almost surely, 2329690361 is an apocalyptic number.

It is an amenable number.

329690361 is a deficient number, since it is larger than the sum of its proper divisors (266916615).

329690361 is a wasteful number, since it uses less digits than its factorization.

329690361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222.

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 329690361 is about 18157.3775914916. The cubic root of 329690361 is about 690.8261203621.

The spelling of 329690361 in words is "three hundred twenty-nine million, six hundred ninety thousand, three hundred sixty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 231 273 303 429 707 1001 1087 1111 1313 2121 3003 3261 3333 3939 7609 7777 9191 11957 14131 14443 22827 23331 27573 35871 42393 43329 83699 98917 101101 109787 155441 251097 296751 303303 329361 466323 768509 1088087 1207657 1427231 2305527 3264261 3622971 4281693 8453599 9990617 15699541 25360797 29971851 47098623 109896787 329690361