Search a number
-
+
328865472 = 263213371187
BaseRepresentation
bin10011100110100…
…001011011000000
3211220211002121200
4103212201123000
51133142143342
652344421200
711102211315
oct2346413300
9756732550
10328865472
111596aa551
1292177800
1353196570
1431968d0c
151dd1194c
hex139a16c0

328865472 has 168 divisors, whose sum is σ = 1043458416. Its totient is φ = 98371584.

The previous prime is 328865443. The next prime is 328865489. The reversal of 328865472 is 274568823.

328865472 is a `hidden beast` number, since 3 + 28 + 86 + 547 + 2 = 666.

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, 276463 + ... + 277649.

It is an arithmetic number, because the mean of its divisors is an integer number (6211062).

Almost surely, 2328865472 is an apocalyptic number.

328865472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328865472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521729208).

328865472 is an abundant number, since it is smaller than the sum of its proper divisors (714592944).

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

328865472 is a wasteful number, since it uses less digits than its factorization.

328865472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1242 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 328865472 is about 18134.6483836881. The cubic root of 328865472 is about 690.2494876001.

The spelling of 328865472 in words is "three hundred twenty-eight million, eight hundred sixty-five thousand, four hundred seventy-two".