Search a number
-
+
329901030 = 232516072281
BaseRepresentation
bin10011101010011…
…110001111100110
3211222202201010200
4103222132033212
51133423313110
652422531330
711114053404
oct2352361746
9758681120
10329901030
1115a247588
1292596b46
1353469a14
1431b58474
151de686c0
hex13a9e3e6

329901030 has 48 divisors (see below), whose sum is σ = 858652704. Its totient is φ = 87880320.

The previous prime is 329901007. The next prime is 329901041. The reversal of 329901030 is 30109923.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 329900985 and 329901003.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 143490 + ... + 145770.

It is an arithmetic number, because the mean of its divisors is an integer number (17888598).

Almost surely, 2329901030 is an apocalyptic number.

329901030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

329901030 is an abundant number, since it is smaller than the sum of its proper divisors (528751674).

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

329901030 is a wasteful number, since it uses less digits than its factorization.

329901030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 329901030 is about 18163.1778607159. The cubic root of 329901030 is about 690.9732328021.

The spelling of 329901030 in words is "three hundred twenty-nine million, nine hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1607 2281 3214 4562 4821 6843 8035 9642 11405 13686 14463 16070 20529 22810 24105 28926 34215 41058 48210 68430 72315 102645 144630 205290 3665567 7331134 10996701 18327835 21993402 32990103 36655670 54983505 65980206 109967010 164950515 329901030