Search a number
-
+
32664330 = 2335311389
BaseRepresentation
bin111110010011…
…0101100001010
32021110112001000
41330212230022
531330224310
63124035430
7544433166
oct174465412
967415030
1032664330
1117490216
12ab32b76
1369c890a
1444a3ca6
152d034c0
hex1f26b0a

32664330 has 64 divisors (see below), whose sum is σ = 87609600. Its totient is φ = 8660160.

The previous prime is 32664329. The next prime is 32664343. The reversal of 32664330 is 3346623.

32664330 is a `hidden beast` number, since 326 + 6 + 4 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32664294 and 32664303.

It is an unprimeable number.

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, 83776 + ... + 84164.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 232664330 is an apocalyptic number.

32664330 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 32664330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43804800).

32664330 is an abundant number, since it is smaller than the sum of its proper divisors (54945270).

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

32664330 is a wasteful number, since it uses less digits than its factorization.

32664330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 32664330 is about 5715.2716470873. The cubic root of 32664330 is about 319.6621760369.

32664330 divided by its sum of digits (27) gives a triangular number (1209790 = T1555).

The spelling of 32664330 in words is "thirty-two million, six hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 311 389 622 778 933 1167 1555 1866 1945 2334 2799 3110 3501 3890 4665 5598 5835 7002 8397 9330 10503 11670 13995 16794 17505 21006 27990 35010 41985 52515 83970 105030 120979 241958 362937 604895 725874 1088811 1209790 1814685 2177622 3266433 3629370 5444055 6532866 10888110 16332165 32664330