Search a number
-
+
327382328 = 237213173779
BaseRepresentation
bin10011100000110…
…111010100111000
3211211000202010102
4103200313110320
51132302213303
652252534532
711053463300
oct2340672470
9754022112
10327382328
11158887209
1291781448
1352a97470
14316a0600
151db1c288
hex13837538

327382328 has 96 divisors (see below), whose sum is σ = 814438800. Its totient is φ = 121863168.

The previous prime is 327382271. The next prime is 327382337. The reversal of 327382328 is 823283723.

It is a junction number, because it is equal to n+sod(n) for n = 327382291 and 327382300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84743 + ... + 88521.

Almost surely, 2327382328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327382328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407219400).

327382328 is an abundant number, since it is smaller than the sum of its proper divisors (487056472).

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

327382328 is a wasteful number, since it uses less digits than its factorization.

327382328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3818 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 327382328 is about 18093.7096251708. The cubic root of 327382328 is about 689.2102762086.

The spelling of 327382328 in words is "three hundred twenty-seven million, three hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 119 136 182 196 221 238 364 392 442 476 637 728 833 884 952 1274 1547 1666 1768 2548 3094 3332 3779 5096 6188 6664 7558 10829 12376 15116 21658 26453 30232 43316 49127 52906 64243 86632 98254 105812 128486 185171 196508 211624 256972 343889 370342 393016 449701 513944 687778 740684 835159 899402 1375556 1481368 1670318 1798804 2407223 2751112 3147907 3340636 3597608 4814446 5846113 6295814 6681272 9628892 11692226 12591628 19257784 23384452 25183256 40922791 46768904 81845582 163691164 327382328