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327438930 = 235713277433
BaseRepresentation
bin10011100001000…
…101001001010010
3211211010121202210
4103201011021102
51132311021210
652254052550
711054120310
oct2341051122
9754117683
10327438930
11158915795
12917aa156
1352ab7160
14316b70b0
151db2de20
hex13845252

327438930 has 128 divisors (see below), whose sum is σ = 972937728. Its totient is φ = 68677632.

The previous prime is 327438899. The next prime is 327438953. The reversal of 327438930 is 39834723.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755994 + ... + 756426.

It is an arithmetic number, because the mean of its divisors is an integer number (7601076).

Almost surely, 2327438930 is an apocalyptic number.

327438930 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 327438930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486468864).

327438930 is an abundant number, since it is smaller than the sum of its proper divisors (645498798).

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

327438930 is a wasteful number, since it uses less digits than its factorization.

327438930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740.

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 327438930 is about 18095.2736923209. The cubic root of 327438930 is about 689.2499937180.

The spelling of 327438930 in words is "three hundred twenty-seven million, four hundred thirty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 277 390 433 455 546 554 831 866 910 1299 1365 1385 1662 1939 2165 2598 2730 2770 3031 3601 3878 4155 4330 5629 5817 6062 6495 7202 8310 9093 9695 10803 11258 11634 12990 15155 16887 18005 18186 19390 21606 25207 28145 29085 30310 33774 36010 39403 45465 50414 54015 56290 58170 75621 78806 84435 90930 108030 118209 119941 126035 151242 168870 197015 236418 239882 252070 359823 378105 394030 591045 599705 719646 756210 839587 1182090 1199410 1559233 1679174 1799115 2518761 3118466 3598230 4197935 4677699 5037522 7796165 8395870 9355398 10914631 12593805 15592330 21829262 23388495 25187610 32743893 46776990 54573155 65487786 109146310 163719465 327438930