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328811730 = 235133127197
BaseRepresentation
bin10011100110010…
…100010011010010
3211220201100220020
4103212110103102
51133133433410
652343324310
711101565532
oct2346242322
9756640806
10328811730
11159673135
1292150696
1353177c70
14319534c2
151dd00a70
hex139944d2

328811730 has 64 divisors (see below), whose sum is σ = 877298688. Its totient is φ = 78324480.

The previous prime is 328811729. The next prime is 328811731. The reversal of 328811730 is 37118823.

It is an interprime number because it is at equal distance from previous prime (328811729) and next prime (328811731).

It is a junction number, because it is equal to n+sod(n) for n = 328811691 and 328811700.

It is not an unprimeable number, because it can be changed into a prime (328811731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509 + ... + 25688.

It is an arithmetic number, because the mean of its divisors is an integer number (13707792).

Almost surely, 2328811730 is an apocalyptic number.

328811730 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 328811730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438649344).

328811730 is an abundant number, since it is smaller than the sum of its proper divisors (548486958).

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

328811730 is a wasteful number, since it uses less digits than its factorization.

328811730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27251.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 328811730 is about 18133.1665739881. The cubic root of 328811730 is about 690.2118861978.

The spelling of 328811730 in words is "three hundred twenty-eight million, eight hundred eleven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 27197 54394 81591 135985 163182 271970 353561 407955 707122 815910 843107 1060683 1686214 1767805 2121366 2529321 3535610 4215535 5058642 5303415 8431070 10606830 10960391 12646605 21920782 25293210 32881173 54801955 65762346 109603910 164405865 328811730