Search a number
-
+
327680118 = 232194123369
BaseRepresentation
bin10011100010000…
…000000001110110
3211211120212121200
4103202000001312
51132341230433
652303153330
711056143423
oct2342000166
9754525550
10327680118
11158a6aa17
12918a5846
1352b6cb7c
143173ad4a
151db7a613
hex13880076

327680118 has 48 divisors (see below), whose sum is σ = 765601200. Its totient is φ = 100949760.

The previous prime is 327680113. The next prime is 327680131. The reversal of 327680118 is 811086723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327680113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2338 + ... + 25706.

It is an arithmetic number, because the mean of its divisors is an integer number (15950025).

Almost surely, 2327680118 is an apocalyptic number.

327680118 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 327680118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382800600).

327680118 is an abundant number, since it is smaller than the sum of its proper divisors (437921082).

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

327680118 is a wasteful number, since it uses less digits than its factorization.

327680118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23437 (or 23434 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 327680118 is about 18101.9368576956. The cubic root of 327680118 is about 689.4191835652.

The spelling of 327680118 in words is "three hundred twenty-seven million, six hundred eighty thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 4674 7011 14022 23369 46738 70107 140214 210321 420642 444011 888022 958129 1332033 1916258 2664066 2874387 3996099 5748774 7992198 8623161 17246322 18204451 36408902 54613353 109226706 163840059 327680118